Aspire Faculty ID #13943 · Topic: JAMIA MILLIA ISLAMIA MCA 2020 · Just now
JAMIA MILLIA ISLAMIA MCA 2020

The differential equation $2 \dfrac{dy}{dx} + x^2 y = 2x + 3, \, y(0) = 5$ will be…….

Solution

The given equation is $2\dfrac{dy}{dx} + x^2 y = 2x + 3$. Dividing by 2: $\dfrac{dy}{dx} + \dfrac{x^2}{2}y = x + \dfrac{3}{2}$. This is a linear differential equation in $y$ with fixed constants.

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