InterviewSolution
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InterviewSolution
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` (dy)/(dx ) + 2y =sinx` |
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Answer» Correct Answer - `y = (1)/(5) (2 sin x - cos x ) + C en ^(-2x)` `IF = e ^(int 2 dx ) = e^( 2x )` `therefore y xx e ^( 2x ) = int e ^( 2x ) sin x dx + C ` ` " " = e ^( 2x ) { ( 2 sin x - cos x )/(( 2^(2) + 1 ^(2)))} + C [ int e ^(ax) sin bx dx = e^(ax){(asin bx + b cos bx)/((a ^(2) + b^(2)))} ]` ` rArr y = ( (2 sin x - cos x ))/( 5) + Ce^(-2x)` |
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