InterviewSolution
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InterviewSolution
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Find the general solution of each of the following differential equations: `(dy)/(dx) = sin^(3)x cos^(2)x+xe^(x)` |
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Answer» Correct Answer - `y=-(1)/(3) "cos"^(3)x+(1)/(5)cos^(5)x +xe^(x)-e^(x)+C` `int dy=int cos^(2)x(1-cos^(2)x)sinx dx +int xe^(x)dx+C` `rArr y = -int t^(2)(1-t^(2))dt+int xe^(x)dx+C, " where " t = cosx` `rArr y = -int t^(2)dt +int t^(4)dt +int underset(I)(x)underset(II)(e^(x))dx +C. ` |
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