Calculus Examples

$d y + d x = 0$

Step 1

Subtract $d x$ from both sides of the equation.

$d y = - d x$

Step 2

Integrate both sides.

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Step 2.1

Set up an integral on each side.

$\int d y = \int - 1 d x$

Step 2.2

Apply the constant rule.

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

Step 2.3

Apply the constant rule.

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

Step 2.4

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

$y = - x + K$