MCQ
$y = 4\sin 3x$ is a solution of the differential equation
- A$\frac{{dy}}{{dx}} + 8y = 0$
- B$\frac{{dy}}{{dx}} - 8y = 0$
- ✓$\frac{{{d^2}y}}{{d{x^2}}} + 9y = 0$
- D$\frac{{{d^2}y}}{{d{x^2}}} - 9y = 0$
==> $\frac{{{d^2}y}}{{d{x^2}}} = - 36\sin 3x = - 9 \times 4\sin 3x = - 9y$
==> $\frac{{{d^2}y}}{{d{x^2}}} + 9y = 0$.
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