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Consider a second order linear ordinary differential equation $\frac{d^{2} y}{d x^{2}}-4 \frac{d y}{d x}+4 y=0,$ with the boundary conditions $\mathrm{y}(0)=1 ;\left.\frac{\mathrm{dy}}{\mathrm{dx}}\right|_{\mathrm{x}-0}=1 .$ The value of $\mathrm{y}$ at $\mathrm{x}=1$ is
(A) 0
(B) 1
(C) e
(D) $\mathrm{e}^{2}$


Question ID - 155660 | Toppr Answer

Consider a second order linear ordinary differential equation $\frac{d^{2} y}{d x^{2}}-4 \frac{d y}{d x}+4 y=0,$ with the boundary conditions $\mathrm{y}(0)=1 ;\left.\frac{\mathrm{dy}}{\mathrm{dx}}\right|_{\mathrm{x}-0}=1 .$ The value of $\mathrm{y}$ at $\mathrm{x}=1$ is
(A) 0
(B) 1
(C) e
(D) $\mathrm{e}^{2}$

1 Answer - 5876 Votes

3537

Answer Key : (A) -

(A) 0



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