(a) Solve: $(D^3 - D^2 - 6D)y = x^2$. (b) Solve: $y(e^x + 2xy) dx - e…

Previous year question for Engineering Mathematics-I.

Question

(a) Solve: $(D^3 - D^2 - 6D)y = x^2$.

(b) Solve: $y(e^x + 2xy) dx - e^x dy = 0$.

(c) Solve: $\frac{dy}{dx} + 4xy + xy^3 = 0$

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