Solve the following initial value problem: 2x(dy/dx) = 3y, y(1) = 2

Question

Solve the following initial value problem:

2x\(\frac{\text{dy}}{\text{dx}}=\) 3y, y(1) = 2

Answer 1

Given differential equation 2x\(\frac{\text{dy}}{\text{dx}}=\) 3y

Find: Find the general solution of this differential equation.

Put C =4 in equation (i)

y² = x³4

Hence, y² = 4x³