InterviewSolution
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InterviewSolution
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The order of the diferential equation whose general solution is given by ` y = c_(1)e^(2x+c_(2)) + c_(3)e^(x)+c_(4)sin (x+c_(5))` isA. 5B. 4C. 3D. 2 |
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Answer» Correct Answer - b Given equation is ` y = c_(1)e^(2x+c_(2)) +c_(3)e^(x) +c_(4)sin (x+c_(5))` `= c_(1)e^(c_(2))e^(2x)c_(3)e^(x)+ c_(4)(sin x cos c_(5)+cos x sin c_(5))` ` = Ae^(2x) +c_(3)e^(x)+B sin x +D cos x` Here, ` A = c_(1) e^(c_(2)) , B = c_(4) cos c_(5) , D c_(4) sin c_(5)` , Since , equation consists of four arbitrary constants So, the order of differential equation is 4. |
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