Question

If dy/dx=2y^2 and if y= -1 when x=1, then when x=2 y=?

Answer 1

Step 1 :

The equation is  and if , then .

Rewrite the equation :

Apply integration on each side.

Apply power rule of integration.

Step 2 :

Substitute and in equation (1)

Substitute in equation (1).

Substitute in above equation.

Cross multiplication.

If , then .

Solution :

If , then .