Calculus Examples

$\frac{d y}{d x} - 3 = 0$

Step 1

Separate the variables.

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Step 1.1

Add $3$ to both sides of the equation.

$\frac{d y}{d x} = 3$

Step 1.2

Rewrite the equation.

$d y = 3 d x$

Step 2

Integrate both sides.

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Step 2.1

Set up an integral on each side.

$\int d y = \int 3 d x$

Step 2.2

Apply the constant rule.

$y + C_{1} = \int 3 d x$

Step 2.3

Apply the constant rule.

$y + C_{1} = 3 x + C_{2}$

Step 2.4

Group the constant of integration on the right side as $K$ .

$y = 3 x + K$