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Home » The differential equation for y = A cos αx + B sin αx, where A and B are arbitrary constants is (A)d2y/dx^2-a^2y=0 (B)d^2y/dx^2+a^2y=0 (C)d^2y/dx^2+ay=0 (D)d^2y/dx^2-ay=0
The differential equation for y = A cos αx + B sin αx, where A and B are arbitrary constants is (A)d2y/dx^2-a^2y=0 (B)d^2y/dx^2+a^2y=0 (C)d^2y/dx^2+ay=0 (D)d^2y/dx^2-ay=0
CBSE | Class 12 | Differential Equations | Exercise 1 | Maths | NCERT Exemplar
The differential equation for y = A cos αx + B sin αx, where A and B are arbitrary constants is (A)d2y/dx^2-a^2y=0 (B)d^2y/dx^2+a^2y=0 (C)d^2y/dx^2+ay=0 (D)d^2y/dx^2-ay=0

Correct option :(B)

According to ques,

 

    \[y~=\text{ }A\text{ }cos\text{ }ax~+\text{ }B\text{ }sin\text{ }ax\]

Differentiating with respect to x,

NCERT Exemplar Solutions Class 12 Mathematics Chapter 9 - 71

 

 

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