Mathway | Các bài toán phổ biến

Những bài toán phổ biến

Hạng	Chủ đề	Bài toán	Bài toán đã được định dạng
79501	Solve the Differential Equation	x^2y''''-3xy''''+4y=0	$x^{2} y'' - 3 x y'' + 4 y = 0$
79502	Solve the Differential Equation	(dy)/(dx)=(x-2)/(y+1)	$\frac{d y}{d x} = \frac{x - 2}{y + 1}$
79503	Solve the Differential Equation	(dP)/(dx)=3x căn bậc hai của x^2+9	$\frac{d P}{d x} = 3 x \sqrt{x^{2} + 9}$
79504	Solve the Differential Equation	(dr)/(dt)=6t+sec(t)^2 , r(-pi)=5	$\frac{d r}{d t} = 6 t + \sec^{2} (t)$ , $r (- π) = 5$
79505	Solve the Differential Equation	(dy)/(dx)+3x^2=2x	$\frac{d y}{d x} + 3 x^{2} = 2 x$
79506	Verify the Differential Equation Solution	(dr)/(dtheta)=pisin(pitheta) , r(1)=2	$\frac{d r}{d θ} = π \sin (π θ)$ , $r (1) = 2$
79507	Solve the Differential Equation	(dv)/(dw)=e^(6x)	$\frac{d v}{d w} = e^{6 x}$
79508	Solve the Differential Equation	4xdy-(yd)x=x^2dy	$4 x d y - yd x = x^{2} d y$
79509	Solve the Differential Equation	(dv)/(dt)=6/(1+t^2)+sec(t)^2 , v(0)=3	$\frac{d v}{d t} = \frac{6}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 3$
79510	Solve the Differential Equation	(dy)/(dt)-2ty=0	$\frac{d y}{d t} - 2 t y = 0$
79511	Solve the Differential Equation	(dy)/(dt)=8y+ty+sin(t)	$\frac{d y}{d t} = 8 y + t y + \sin (t)$
79512	Solve the Differential Equation	(dx)/(dt)=(x+t^2-2x căn bậc hai của t)/t	$\frac{d x}{d t} = \frac{x + t^{2} - 2 x \sqrt{t}}{t}$
79513	Solve the Differential Equation	2y''''+y=3t^2	$2 y'' + y = 3 t^{2}$
79514	Solve the Differential Equation	y''''''''+5y''''=0 , y=1	$y'''' + 5 y'' = 0$ , $y = 1$
79515	Solve the Differential Equation	sin(3xdx)+2ycos(3xdy)^3=0	$\sin (3 x d x) + 2 y \cos^{3} (3 x d y) = 0$
79516	Solve the Differential Equation	(dy)/(dx)=(1+y^2)tan(x)	$\frac{d y}{d x} = (1 + y^{2}) \tan (x)$
79517	Solve the Differential Equation	(dA)/(dt)=0.02A	$\frac{d A}{d t} = 0.02 A$
79518	Solve the Differential Equation	(dy)/(dx)=68yx^16	$\frac{d y}{d x} = 68 y x^{16}$
79519	Solve the Differential Equation	y''''=2x+xy	$y'' = 2 x + x y$
79520	Solve the Differential Equation	(dy)/(dx)=2/(x+1)	$\frac{d y}{d x} = \frac{2}{x + 1}$
79521	Solve the Differential Equation	(dc)/(dy)=0.5+0.2/( căn bậc hai của y)	$\frac{d c}{d y} = 0.5 + \frac{0.2}{\sqrt{y}}$
79522	Solve the Differential Equation	z''''''''-2z''''-2z=0	$z'''' - 2 z'' - 2 z = 0$
79523	Solve the Differential Equation	(dy)/(dx)+1/x=e^x	$\frac{d y}{d x} + \frac{1}{x} = e^{x}$
79524	Verify the Differential Equation Solution	(dy)/(dx)=7/((4+x)^2) , y(0)=4	$\frac{d y}{d x} = \frac{7}{{(4 + x)}^{2}}$ , $y (0) = 4$
79525	Solve the Differential Equation	(dy)/(dx)=4x+y	$\frac{d y}{d x} = 4 x + y$
79526	Solve the Differential Equation	(3xy-2ay^2)dx+(x^2-2ayx)dy=0	$(3 x y - 2 a y^{2}) d x + (x^{2} - 2 a y x) d y = 0$
79527	Solve the Differential Equation	(x+y+1)dx+(2x+2y-1)dy=0	$(x + y + 1) d x + (2 x + 2 y - 1) d y = 0$
79528	Solve the Differential Equation	y''''''''-y''''+6y=0	$y'''' - y'' + 6 y = 0$
79529	Solve the Differential Equation	(dy)/(dx)=(e^x+7)^2	$\frac{d y}{d x} = {(e^{x} + 7)}^{2}$
79530	Solve the Differential Equation	(xdy)/(y căn bậc hai của x^2+y^2)=(dx)/( căn bậc hai của x^2+y^2)+(dy)/y	$\frac{x d y}{y \sqrt{x^{2} + y^{2}}} = \frac{d x}{\sqrt{x^{2} + y^{2}}} + \frac{d y}{y}$
79531	Solve the Differential Equation	y''''-5=-9x	$y'' - 5 = - 9 x$
79532	Solve the Differential Equation	x^3+4y(dy)/(dx)=0	$x^{3} + 4 y \frac{d y}{d x} = 0$
79533	Solve the Differential Equation	a^2dx=x căn bậc hai của x^2-a^2dy	$a^{2} d x = x \sqrt{x^{2} - a^{2} d y}$
79534	Solve the Differential Equation	xdy-2(yd)x=(x-2)e^xdx	$x d y - 2 yd x = (x - 2) e^{x} d x$
79535	Solve the Differential Equation	y''''+3xy=sin(x)	$y'' + 3 x y = \sin (x)$
79536	Solve the Differential Equation	(dy)/(dx)=7xe^(-y)	$\frac{d y}{d x} = 7 x e^{- y}$
79537	Solve the Differential Equation	(ds)/(dt)=t^(-3/2) , s(4)=-1	$\frac{d s}{d t} = t^{- \frac{3}{2}}$ , $s (4) = - 1$
79538	Solve the Differential Equation	x(yd)x+(2x^2+3y^2-20)dy=0	$x yd x + (2 x^{2} + 3 y^{2} - 20) d y = 0$
79539	Solve the Differential Equation	(dy)/(dx)=(6e^(2x))/(e^y)	$\frac{d y}{d x} = \frac{6 e^{2 x}}{e^{y}}$
79540	Solve the Differential Equation	y''''=(x-3)^2	$y'' = {(x - 3)}^{2}$
79541	Solve the Differential Equation	9y''''+y=0	$9 y'' + y = 0$
79542	Solve the Differential Equation	(d^4y)/(dx^4)-7(d^2y)/(dx^2)-18y=0	$\frac{d^{4} y}{d x^{4}} - 7 \frac{d^{2} y}{d x^{2}} - 18 y = 0$
79543	Solve the Differential Equation	(dy)/(dx)=xy+1	$\frac{d y}{d x} = x y + 1$
79544	Solve the Differential Equation	y''''-y/x=(x^(2-1))/x	$y'' - \frac{y}{x} = \frac{x^{2 - 1}}{x}$
79545	Solve the Differential Equation	(2xy^3+ycos(x))dx+(3x^2y^2+sin(x))dy=0	$(2 x y^{3} + y \cos (x)) d x + (3 x^{2} y^{2} + \sin (x)) d y = 0$
79546	Solve the Differential Equation	(dy)/(dx)=1/(3x+2)	$\frac{d y}{d x} = \frac{1}{3 x + 2}$
79547	Solve the Differential Equation	f(x)=2x^(5/4)+6x^(1/4)+3x^-4	$f (x) = 2 x^{\frac{5}{4}} + 6 x^{\frac{1}{4}} + 3 x^{- 4}$
79548	Solve the Differential Equation	(dp)/(dz)=-16z^7	$\frac{d p}{d z} = - 16 z^{7}$
79549	Solve the Differential Equation	(dy)/(dt)=y^4+7/2	$\frac{d y}{d t} = y^{4} + \frac{7}{2}$
79550	Solve the Differential Equation	(dy)/(dx)=2x(y+1)	$\frac{d y}{d x} = 2 x (y + 1)$
79551	Solve the Differential Equation	f(x)=5x	$f (x) = 5 x$
79552	Solve the Differential Equation	(dy)/(dx)=y/x-3x	$\frac{d y}{d x} = \frac{y}{x} - 3 x$
79553	Solve the Differential Equation	xy''''''''-y=0	$x y'''' - y = 0$
79554	Solve the Differential Equation	y''''''''+ay=0	$y'''' + a y = 0$
79555	Solve the Differential Equation	y''''+y-e^(-x)=0	$y'' + y - e^{- x} = 0$
79556	Solve the Differential Equation	(dy)/(dx)=(4x^3)/(2e^y)	$\frac{d y}{d x} = \frac{4 x^{3}}{2 e^{y}}$
79557	Solve the Differential Equation	y^n+y''''-y^6=0	$y^{n} + y'' - y^{6} = 0$
79558	Solve the Differential Equation	x^2y^2y''''+xy^3=2	$x^{2} y^{2} y'' + x y^{3} = 2$
79559	Solve the Differential Equation	(dT)/(dt)+kT/(r^2)=0	$\frac{d T}{d t} + \frac{k T}{r^{2}} = 0$
79560	Solve the Differential Equation	y''''''''-2y+10y=0	$y'''' - 2 y + 10 y = 0$
79561	Solve the Differential Equation	-y^2dx+(x^2+xy)dy=0	$- y^{2} d x + (x^{2} + x y) d y = 0$
79562	Solve the Differential Equation	(dy)/(dx)=2e^(x-y) , y(0) = natural log of 8	$\frac{d y}{d x} = 2 e^{x - y}$ , $y (0) = \ln (8)$
79563	Solve the Differential Equation	(dy)/(dx)=(5x^2)/( căn bậc hai của 1+x^3)	$\frac{d y}{d x} = \frac{5 x^{2}}{\sqrt{1 + x^{3}}}$
79564	Solve the Differential Equation	(dy)/(dx)=x^2+y-1	$\frac{d y}{d x} = x^{2} + y - 1$
79565	Solve the Differential Equation	(dy)/(dx)=(3x^2+2)/y	$\frac{d y}{d x} = \frac{(3 x^{2} + 2)}{y}$
79566	Solve the Differential Equation	6.50(ds)/(dt)=16.0(ds)/(dt)-16.0(dx)/(dt)	$6.5 \frac{d s}{d t} = 16 \frac{d s}{d t} - 16 \frac{d x}{d t}$
79567	Solve the Differential Equation	y''''''''''''''''+4y''''''''''''+3y=t	$y'''''''' + 4 y'''''' + 3 y = t$
79568	Solve the Differential Equation	y''''''''''''+3y''''''''+3y''''+1=0	$y'''''' + 3 y'''' + 3 y'' + 1 = 0$
79569	Solve the Differential Equation	y^5-7y^4+19y''''''''-23y''''+10y''''=0	$y^{5} - 7 y^{4} + 19 y'''' - 23 y'' + 10 y'' = 0$
79570	Solve the Differential Equation	f(x)=\|x+3\|	$f (x) = \| x + 3 \|$
79571	Solve the Differential Equation	cos(x)(dy)/(dx)=cos(x)^2-sin(x)y	$\cos (x) \cdot \frac{d y}{d x} = \cos^{2} (x) - \sin (x) \cdot y$
79572	Solve the Differential Equation	y''''''''-2xy''''+8y=0	$y'''' - 2 x y'' + 8 y = 0$
79573	Solve the Differential Equation	(3xy+y^2)dx+(xy+x^2)dy=0	$(3 x y + y^{2}) d x + (x y + x^{2}) d y = 0$
79574	Solve the Differential Equation	(dy)/(dx)=(16x)/(e^y)	$\frac{d y}{d x} = \frac{16 x}{e^{y}}$
79575	Solve the Differential Equation	x(x^2-1)y''''''''+(x+1)y''''-y=0	$x (x^{2} - 1) y'''' + (x + 1) y'' - y = 0$
79576	Solve the Differential Equation	(dy)/(dx)=(3y-2y+5)/(2x+5)	$\frac{d y}{d x} = \frac{3 y - 2 y + 5}{2 x + 5}$
79577	Solve the Differential Equation	(2y+t)dy+ydt=0	$(2 y + t) d y + yd t = 0$
79578	Solve the Differential Equation	(1+x^2)dy=x(yd)x	$(1 + x^{2}) d y = x yd x$
79579	Solve the Differential Equation	(2x+y+1)(dy)/(dx)=1	$(2 x + y + 1) \frac{d y}{d x} = 1$
79580	Solve the Differential Equation	(dy)/(dx)+2/xy=x^2 , y(1)=2/5	$\frac{d y}{d x} + \frac{2}{x} y = x^{2}$ , $y (1) = \frac{2}{5}$
79581	Solve the Differential Equation	x''''=sin(kt)	$x'' = \sin (k t)$
79582	Solve the Differential Equation	(dy)/(dx)=ycot(x)+y^3csc(x)	$\frac{d y}{d x} = y \cot (x) + y^{3} \csc (x)$
79583	Solve the Differential Equation	(dy)/(dt)=d/(dt)(x^2+4)	$\frac{d y}{d t} = \frac{d}{d t} (x^{2} + 4)$
79584	Solve the Differential Equation	(dy)/(dx)=-( căn bậc hai của x)/(4y)	$\frac{d y}{d x} = - \frac{\sqrt{x}}{4 y}$
79585	Solve the Differential Equation	(2x-y^3)dx+(3xy^2-e^(2y))dy=0	$(2 x - y^{3}) d x + (3 x y^{2} - e^{2 y}) d y = 0$
79586	Solve the Differential Equation	(dy)/(dx)+xy^2=e^x	$\frac{d y}{d x} + x y^{2} = e^{x}$
79587	Solve the Differential Equation	(dy)/(dx)=2x^2-x/2+1 , y(1)=2	$\frac{d y}{d x} = 2 x^{2} - \frac{x}{2} + 1$ , $y (1) = 2$
79588	Solve the Differential Equation	ydx-xdy+xdx=0	$yd x - x d y + x d x = 0$
79589	Solve the Differential Equation	(dy)/(dt)+2y=1 , y(0)=2/5	$\frac{d y}{d t} + 2 y = 1$ , $y (0) = \frac{2}{5}$
79590	Solve the Differential Equation	xy''''+y=x/(x^2+1)	$x y'' + y = \frac{x}{x^{2} + 1}$
79591	Solve the Differential Equation	9y(dy)/(dx)=7x^2	$9 y \frac{d y}{d x} = 7 x^{2}$
79592	Solve the Differential Equation	(dx)/(dt)=x^2+1/81	$\frac{d x}{d t} = x^{2} + \frac{1}{81}$
79593	Solve the Differential Equation	(3x+2y^2)dx+2x(yd)y=0	$(3 x + 2 y^{2}) d x + 2 x yd y = 0$
79594	Solve the Differential Equation	x(yd)y-(x+1)dx=0	$x yd y - (x + 1) d x = 0$
79595	Solve the Differential Equation	căn bậc hai của (d^3y)/(dx^3)+(dy)/(dx)=y	$\sqrt{\frac{d^{3} y}{d x^{3}}} + \frac{d y}{d x} = y$
79596	Solve the Differential Equation	(dy)/(dt)=y^2-1	$\frac{d y}{d t} = y^{2} - 1$
79597	Solve the Differential Equation	y''''=2y-x	$y'' = 2 y - x$
79598	Solve the Differential Equation	(10+x^4)(dy)/(dx)=(x^3)/y	$(10 + x^{4}) \frac{d y}{d x} = \frac{x^{3}}{y}$
79599	Solve the Differential Equation	y''''=x+y*e^(-y)	$y'' = x + y \cdot e^{- y}$
79600	Solve the Differential Equation	x(y+1)dx=(y^2+1)(x^2+1)dy	$x (y + 1) d x = (y^{2} + 1) (x^{2} + 1) d y$