Mathway | Các bài toán phổ biến

Những bài toán phổ biến

Hạng	Chủ đề	Bài toán	Bài toán đã được định dạng
78801	Solve the Differential Equation	(dx)/(dt)=1	$\frac{d x}{d t} = 1$
78802	Solve the Differential Equation	(d^2y)/(dx^2)+4(dy)/(dx)-2y=2x^2-3x+6	$\frac{d^{2} y}{d x^{2}} + 4 \frac{d y}{d x} - 2 y = 2 x^{2} - 3 x + 6$
78803	Solve the Differential Equation	(dy)/(dx)=(-7y+4)/(6x-7)	$\frac{d y}{d x} = \frac{- 7 y + 4}{6 x - 7}$
78804	Solve the Differential Equation	y''''-3/ty=0	$y'' - \frac{3}{t} y = 0$
78805	Solve the Differential Equation	(t/y)dy+(1+ logarit tự nhiên của y)dt=0	$(\frac{t}{y}) d y + (1 + \ln (y)) d t = 0$
78806	Solve the Differential Equation	y''''+25y=6sin(x)	$y'' + 25 y = 6 \sin (x)$
78807	Solve the Differential Equation	y^2dx+x^2dy=-yxdx	$y^{2} d x + x^{2} d y = - y x d x$
78808	Solve the Differential Equation	y''''+x^3e^y=0	$y'' + x^{3} e^{y} = 0$
78809	Solve the Differential Equation	(du)/(dt)=e^(2u+4t)	$\frac{d u}{d t} = e^{2 u + 4 t}$
78810	Solve the Differential Equation	y''''''''-10y''''+25y=e^(5x)	$y'''' - 10 y'' + 25 y = e^{5 x}$
78811	Solve the Differential Equation	(dy)/(dx)=4x^(1/7)	$\frac{d y}{d x} = 4 x^{\frac{1}{7}}$
78812	Solve the Differential Equation	2xy+4x+(x^2-9)(dy)/(dx)=0	$2 x y + 4 x + (x^{2} - 9) \frac{d y}{d x} = 0$
78813	Solve the Differential Equation	3y^2tdy+(y^3+2t)dt=0	$3 y^{2} t d y + (y^{3} + 2 t) d t = 0$
78814	Solve the Differential Equation	y''''(x)+2y(x)=x	$y'' (x) + 2 y (x) = x$
78815	Solve the Differential Equation	x^2(dy^2)/(dx^2)-x(dy)/(dx)=1	$x^{2} \frac{d y^{2}}{d x^{2}} - x \frac{d y}{d x} = 1$
78816	Solve the Differential Equation	2xy''''=3y	$2 x y'' = 3 y$
78817	Solve the Differential Equation	4x^2+5y(dy)/(dx)=0	$4 x^{2} + 5 y \frac{d y}{d x} = 0$
78818	Solve the Differential Equation	y''''=x-4y	$y'' = x - 4 y$
78819	Solve the Differential Equation	(3x+y)dx-xdy=0	$(3 x + y) d x - x d y = 0$
78820	Solve the Differential Equation	(d^2y)/(dx^2)=12	$\frac{d^{2} y}{d x^{2}} = 12$
78821	Solve the Differential Equation	y''''+3y''''-5y=0	$y'' + 3 y'' - 5 y = 0$
78822	Solve the Differential Equation	(4+x)y''''=3y	$(4 + x) y'' = 3 y$
78823	Solve the Differential Equation	2yy''''=xy^2+1	$2 y y'' = x y^{2} + 1$
78824	Solve the Differential Equation	-x^2dx+y^2dy=0	$- x^{2} d x + y^{2} d y = 0$
78825	Solve the Differential Equation	(dy)/(dx)=(1+ căn bậc hai của x-y)/(1- căn bậc hai của x-y)	$\frac{d y}{d x} = \frac{1 + \sqrt{x - y}}{1 - \sqrt{x - y}}$
78826	Solve the Differential Equation	(d^2y)/(dx^2)=4y+1	$\frac{d^{2} y}{d x^{2}} = 4 y + 1$
78827	Solve the Differential Equation	(dy)/(dx)=(3y+x^2y)/(x-4xy)	$\frac{d y}{d x} = \frac{3 y + x^{2} y}{x - 4 x y}$
78828	Solve the Differential Equation	e^xy((dy)/(dx))=e^(-y)+e^(-2x-y)	$e^{x} y (\frac{d y}{d x}) = e^{- y} + e^{- 2 x - y}$
78829	Solve the Differential Equation	(dy)/(dx)=7x^2y-6xy	$\frac{d y}{d x} = 7 x^{2} y - 6 x y$
78830	Solve the Differential Equation	(dy)/(dx)=(xf(x)-16(fx))/(x^17)	$\frac{d y}{d x} = \frac{x f (x) - 16 (f x)}{x^{17}}$
78831	Solve the Differential Equation	(dy)/(dx)=-3xy	$\frac{d y}{d x} = - 3 x y$
78832	Solve the Differential Equation	2x(yd)x-(3xy+2y^2)dy=0	$2 x yd x - (3 x y + 2 y^{2}) d y = 0$
78833	Solve the Differential Equation	(d^2y)/(dx^2) = square root of 2x-1	$\frac{d^{2} y}{d x^{2}} = \sqrt{2 x - 1}$
78834	Solve the Differential Equation	(dy)/(dx)=x^4-x^3+x-1 , f(0)=-3	$\frac{d y}{d x} = x^{4} - x^{3} + x - 1$ , $f (0) = - 3$
78835	Solve the Differential Equation	(e^x+2xe^(-y))dx+(e^x+e^(-y))dy=0	$(e^{x} + 2 x e^{- y}) d x + (e^{x} + e^{- y}) d y = 0$
78836	Solve the Differential Equation	y''''''''-6y''''+9y=t^2e^(3t)	$y'''' - 6 y'' + 9 y = t^{2} e^{3 t}$
78837	Solve the Differential Equation	y''''+y=3x-1	$y'' + y = 3 x - 1$
78838	Solve the Differential Equation	(dy)/(dx)-y=4	$\frac{d y}{d x} - y = 4$
78839	Solve the Differential Equation	(y+xy)dx+(x-xy)dy=0	$(y + x y) d x + (x - x y) d y = 0$
78840	Solve the Differential Equation	r(z)=z^-4-z^(1/2)	$r (z) = z^{- 4} - z^{\frac{1}{2}}$
78841	Solve the Differential Equation	(dR)/(dt)=-0.35R	$\frac{d R}{d t} = - 0.35 R$
78842	Solve the Differential Equation	y''''''''+1.44y=24cos(x)^1.2	$y'''' + 1.44 y = 24 \cos^{1.2} (x)$
78843	Solve the Differential Equation	(du)/(dt)=e^(4u+6t)	$\frac{d u}{d t} = e^{4 u + 6 t}$
78844	Solve the Differential Equation	v''''(y)-v/3=15	$v'' (y) - \frac{v}{3} = 15$
78845	Solve the Differential Equation	(dy)/(dt)=ycos(t)	$\frac{d y}{d t} = y \cos (t)$
78846	Solve the Differential Equation	y''''-3y''''-4y=2e^(-t)	$y'' - 3 y'' - 4 y = 2 e^{- t}$
78847	Solve the Differential Equation	(dy)/(dx)=(x^2)/(1-y)	$\frac{d y}{d x} = \frac{x^{2}}{1 - y}$
78848	Solve the Differential Equation	y''''-8y''''+25y=0	$y'' - 8 y'' + 25 y = 0$
78849	Solve the Differential Equation	y''''=(4x+y)^2	$y'' = {(4 x + y)}^{2}$
78850	Solve the Differential Equation	y''''-3x^2y=0	$y'' - 3 x^{2} y = 0$
78851	Solve the Differential Equation	y''''''''+xy''''-2y=0	$y'''' + x y'' - 2 y = 0$
78852	Solve the Differential Equation	2x(dy)/(dx)+y^3e^(-2x)=2xy	$2 x \frac{d y}{d x} + y^{3} e^{- 2 x} = 2 x y$
78853	Solve the Differential Equation	(du)/(dx)=8x^7-3x^2+5	$\frac{d u}{d x} = 8 x^{7} - 3 x^{2} + 5$
78854	Solve the Differential Equation	(dy)/(dx)=7x^(3/5)	$\frac{d y}{d x} = 7 x^{\frac{3}{5}}$
78855	Solve the Differential Equation	(dy)/(dt)=ay+b	$\frac{d y}{d t} = a y + b$
78856	Solve the Differential Equation	(dy)/(dx)=e^(3x)*e^(2y)	$\frac{d y}{d x} = e^{3 x} \cdot e^{2 y}$
78857	Solve the Differential Equation	(dy)/(dx)=(2y)/x+(x^3)/y+xtan(y/(x^2))	$\frac{d y}{d x} = \frac{2 y}{x} + \frac{x^{3}}{y} + x \tan (\frac{y}{x^{2}})$
78858	Solve the Differential Equation	(dy)/(dx) = square root of x-y A solution to differential equation	$\frac{d y}{d x} = \sqrt{x - y}$ A solution to differential equation
78859	Solve the Differential Equation	x(yd)y=(x^2+2y^2)dx	$x yd y = (x^{2} + 2 y^{2}) d x$
78860	Solve the Differential Equation	(dV)/(dt)=4cos(2t)	$\frac{d V}{d t} = 4 \cos (2 t)$
78861	Verify the Differential Equation Solution	(dy)/(dx)=x^3-x^2+2x , y(2)=0	$\frac{d y}{d x} = x^{3} - x^{2} + 2 x$ , $y (2) = 0$
78862	Solve the Differential Equation	(dy)/(dx)-3y=e^(2x)	$\frac{d y}{d x} - 3 y = e^{2 x}$
78863	Solve the Differential Equation	(ds)/(dt)=8t(3t^2-5)^3	$\frac{d s}{d t} = 8 t {(3 t^{2} - 5)}^{3}$
78864	Solve the Differential Equation	y''''''''(x)+y(x)=2^x	$y'''' (x) + y (x) = 2^{x}$
78865	Solve the Differential Equation	9xy(dy)/(dx)=8y^2+5x^2	$9 x y \frac{d y}{d x} = 8 y^{2} + 5 x^{2}$
78866	Solve the Differential Equation	y''''''''=y^3	$y'''' = y^{3}$
78867	Solve the Differential Equation	2(yd)x-3xy^2dx-xdy=0	$2 yd x - 3 x y^{2} d x - x d y = 0$
78868	Solve the Differential Equation	(dy)/(dx)=3x^-5+4x^-1 , y(1)=3	$\frac{d y}{d x} = 3 x^{- 5} + 4 x^{- 1}$ , $y (1) = 3$
78869	Solve the Differential Equation	(dy)/(dx)=(8x^2)/( căn bậc hai của 2+x^3)	$\frac{d y}{d x} = \frac{8 x^{2}}{\sqrt{2 + x^{3}}}$
78870	Solve the Differential Equation	f(x)=3x-4	$f (x) = 3 x - 4$
78871	Solve the Differential Equation	(dy)/(dx)=e^(3x)+2y	$\frac{d y}{d x} = e^{3 x} + 2 y$
78872	Solve the Differential Equation	y''''=-1-y^4	$y'' = - 1 - y^{4}$
78873	Solve the Differential Equation	y''''+3/xy=4/(x^2)	$y'' + \frac{3}{x} y = \frac{4}{x^{2}}$
78874	Solve the Differential Equation	y''''''''-2y''''-4y=0	$y'''' - 2 y'' - 4 y = 0$
78875	Solve the Differential Equation	y''''-2y''''+y=(e^x)/(2x)	$y'' - 2 y'' + y = \frac{e^{x}}{2 x}$
78876	Solve the Differential Equation	(dv)/(dt)=7/(1+t^2)+sec(t)^2 , v(0)=3	$\frac{d v}{d t} = \frac{7}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 3$
78877	Solve the Differential Equation	(dy)/(dx)=(x^2+x)/(y+1)	$\frac{d y}{d x} = \frac{x^{2} + x}{y + 1}$
78878	Solve the Differential Equation	(e^(2x)+4)dy=ydx	$(e^{2 x} + 4) d y = yd x$
78879	Solve the Differential Equation	yy''''=3x^3-5	$y y'' = 3 x^{3} - 5$
78880	Solve the Differential Equation	(du)/(dt)=2.4-(2u)/25	$\frac{d u}{d t} = 2.4 - \frac{2 u}{25}$
78881	Solve the Differential Equation	(dy)/(dx)=4/(x^2e^(3y+9))	$\frac{d y}{d x} = \frac{4}{x^{2} e^{3 y + 9}}$
78882	Solve the Differential Equation	(dy)/(dx)=9+1/x , y(1)=11	$\frac{d y}{d x} = 9 + \frac{1}{x}$ , $y (1) = 11$
78883	Solve the Differential Equation	(2x-3y+1)dx-(3x+2y-4)dy=0	$(2 x - 3 y + 1) d x - (3 x + 2 y - 4) d y = 0$
78884	Solve the Differential Equation	x*(dy)/(dx)+3y=1/5x^2	$x \cdot \frac{d y}{d x} + 3 y = \frac{1}{5} x^{2}$
78885	Solve the Differential Equation	(dy)/(dx)=(e^x)/(6+e^x)	$\frac{d y}{d x} = \frac{e^{x}}{6 + e^{x}}$
78886	Solve the Differential Equation	(e^y+1)cos(xdx)+e^ysin(xdy)=0	$(e^{y} + 1) \cos (x d x) + e^{y} \sin (x d y) = 0$
78887	Solve the Differential Equation	(dy)/(dx)=2x-3y+1	$\frac{d y}{d x} = 2 \cdot x - 3 \cdot y + 1$
78888	Solve the Differential Equation	(dy)/(dx)+2xy-2xe^(-x^2)=0	$\frac{d y}{d x} + 2 x y - 2 x e^{- x^{2}} = 0$
78889	Solve the Differential Equation	y=y''''	$y = y''$
78890	Solve the Differential Equation	y''''''''+y=cot(x)	$y'''' + y = \cot (x)$
78891	Solve the Differential Equation	y''''=xy(y+2)	$y'' = x y (y + 2)$
78892	Solve the Differential Equation	x^2y''''''''+xy''''-4y=0	$x^{2} y'''' + x y'' - 4 y = 0$
78893	Solve the Differential Equation	xdy=y logarit tự nhiên của ydx	$x d y = y \ln (yd x)$
78894	Solve the Differential Equation	f(x)=2x^(3/2)+x^(1/2)	$f (x) = 2 x^{\frac{3}{2}} + x^{\frac{1}{2}}$
78895	Solve the Differential Equation	(dy)/(dx)=-4x+15x^2	$\frac{d y}{d x} = - 4 x + 15 x^{2}$
78896	Solve the Differential Equation	(dy)/(dx)-2xy=2x	$\frac{d y}{d x} - 2 x y = 2 x$
78897	Solve the Differential Equation	(dy)/(dx)=0.05y(500-y)	$\frac{d y}{d x} = 0.05 y (500 - y)$
78898	Solve the Differential Equation	xy''''''''''''+y''''''''=1	$x y'''''' + y'''' = 1$
78899	Solve the Differential Equation	y''''''''=1/x	$y'''' = \frac{1}{x}$
78900	Solve the Differential Equation	(sin(x))y''''+3ycos(x)-csc(x)=0	$(\sin (x)) y'' + 3 y \cos (x) - \csc (x) = 0$