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If , then prove that
If $y = e^{ax} \cos bx$, then prove that $\frac{d^2y}{dx^2} - 2a\frac{dy}{dx} + (a^2 + b^2)y = 0$
Given: y = e^{ax} \cos bx
To show: \frac{d^2y}{dx^2} - 2a\frac{dy}{dx} + (a^2 + b^2)y = 0
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From ISC 2023 Mathematics Paper 1, question 8.