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Find the differential equation whose general solution is given by `y=(c_(1)+c_(2))cos(x+c_(3))-c_(4)e^(x+c)`, where `c_(1),c_(2), c_(3), c_(4), c_(5)` are arbitary constants.A. 5B. 6C. 3D. 2 |
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Answer» Correct Answer - c ` y (c_(1) +c_(2)) cos (x+c_(3))=c_(4e^(x+c_(5))` ` y = (c_(1) +c_(2)) cos (x+c_(3))-c_(4)e^(C_(5))*e^(x)` ` rArr y = A cos (x+c_(3))- Be^(x)` where ` A= c_(1) + c_(2) and B = c_(4)e^(5)` It has three arbitrary constant so, the order of differential equation is 3. |
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