Verify that the functiony=acosx+bsinx, where, a, b∈Ris a solution of the differential equation dx2d2y+y=0.

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Verify that the function{y}={a}{{{x}}}+{b}{{{x}}}, where, a, {

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Verify that the function $y = a cos x + b sin x$ , where, a, $b \in R$ is a solution of the differential equation $\frac{d ^{2} y}{d x ^{2}} + y = 0$ .

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Verify that the function

y = a cos x + b sin x

, where, a,

b \in R

is a solution of the differential equation

\frac{d ^{2} y}{d x ^{2}} + y = 0

13 mins ago

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Question Text

Verify that the function

y = a cos x + b sin x

, where, a,

b \in R

is a solution of the differential equation

\frac{d ^{2} y}{d x ^{2}} + y = 0