Math, asked by shrutiranjan12, 2 months ago

solve d^2y/dx^2-y=x sinx+(1+x^2)e^2 ​

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Answered by zpoihcvi
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Answer:

Symbolic form of the given equation, (D2 + 1) y = xsinx  Auxiliary equation, D2 + 1 = 0 i.e. D = ±i  Thus C.F. = c1y1 + c2y2 = c1cosx + c2sinx … (1)  Let P.I. = u1(x)y1 + u2(x)y2;  Now by method of variation of parameter Read more on Sarthaks.com - https://www.sarthaks.com/388288/solve-d-2y-dx-2-y-xsinx-using-method-of-variation-of-parameter?show=388294#a388294

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