91.2k views
3 votes
Solve the initial value separable differential equation: dy/dx = 2x for y(0,3)

User Solidsnack
by
8.5k points

1 Answer

5 votes

Answer:

y = x² + 3

Explanation:

Since dy/dx is equal to 2x, we can take the integral of 2x to get y = x² + C for some constant C. Plugging (0,3) into this equation gives C = 3.

User Semjon
by
7.8k points