Question

The particular integral of the differential equation (D2 - 4)y = cos (2x) is​

Answer 1

Answer:

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Answer 2

Given:

(D2 - 4)y = cos (2x)

To Find:

Particular integral

Step-by-step explanation:

• This equation is a non Homogenous equation
• $(D^{2}-4 )\times y=cos(2x)\\Particular\ integral = cos(2x)\div f(D^{2})\\=cos(2x)\div (D^{2}-4)\\Here \ D^{2}=-4\\so\\P.I.=-cos(2x)\div 8$

The answer is $-cos(2x)\div 8$