If (x^2\frac{d^2y}{dx^2}-2x\frac{dy}{dx}-4y=x^4), then parti... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

If $x^2\frac{d^2y}{dx^2}-2x\frac{dy}{dx}-4y=x^4$ , then particular integral (P.I) of the given differential equation is

A

$\frac{xe^{4x}}{5}$

B

$\frac{1}{5}x^4logx$

C

$\frac{xe^{5x}}{4}$

D

$\frac{1}{4}x^5logx$

Answer

$\frac{1}{5}x^4logx$

Explanation

Solution

The correct answer is(B): $\frac{1}{5}x^4logx$