MCQ
$y = A{e^{2x}} + B{e^{ - 2x}}$ નુ વિકલ સમીકરણ મેળવો. (જ્યા $A$ અને $B$ એ અચળાંક છે)
- A$\frac{{dy}}{{dx}} = {x^2}$
- B$\frac{{{d^3}y}}{{d{x^3}}} - \frac{{dy}}{{dx}} + {e^x} = 0$
- C$\frac{{{d^2}y}}{{d{x^2}}} = 0$
- ✓$\frac{{{d^2}y}}{{d{x^2}}} = 4y$
$\frac{d^{2} y}{d x^{2}}=4\left(A e^{2 x}+B e^{-2 x}\right) \Rightarrow \frac{d^{2} y}{d x^{2}}=4 y$
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