Calculus Examples

Solve $x \frac{d y}{d x} = y^{2} + 1$ and find the particular solution when $y (1) = 1$

Step 1

Rewrite the differential equation.

$y' = y^{2} + 1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$