AP EAMCET · Maths · Differential Equations
By eliminating the arbitrary constants from , the differential equation obtained is of order
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
y=a+bsinx+c-dex+e+f Differentiating, we get dydx=a+bcosx+c-dex+e+f i.e. dydx=a+bcosx+c+y-a+bsinx+c dydx-y=a+bcosx+c-sinx+c Differentiating, we get d2ydx2-dydx=-a+bsinx+c+cosx+c d3ydx3-d2ydx2=-a+bcosx+c-sinx+c i.e. d3ydx3-d2ydx2=-dydx+y Hence, order of differential equation is 3
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