guys i am having hard time starting out with this problem. help me slove this.. Find an explicit particular solution of the initial value problem: x dy/dx - y = (2x^2)y, y(1) = 1.
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Originally Posted by DMDil guys i am having hard time starting out with this problem. help me slove this.. Find an explicit particular solution of the initial value problem: x dy/dx - y = (2x^2)y, y(1) = 1. $\displaystyle x \cdot \frac{dy}{dx} - y = 2x^2y$ $\displaystyle x \cdot \frac{dy}{dx} = 2x^2y + y$ $\displaystyle x \cdot \frac{dy}{dx} = y(2x^2 + 1)$ $\displaystyle \frac{dy}{y} = \left(2x + \frac{1}{x}\right) \, dx$ finish up
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