AP EAMCET · Maths · Differential Equations
The solution of the differential equation is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given, d2ydx2+y=0 We will check if y=3sinx+4cosx is solution of the differential equation. Differentiating this w.r.t x dydx=3cosx-4sinx Again differentiating w.r.t. x d2ydx2=-3sinx-4cosx ⇒d2ydx2=-3sinx+4cosx=-y ⇒d2ydx2+y=0 Hence, y=3sinx+4cosx is solution of the…
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