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1. |
Solve this Differential Equation to find its General Solution.\((x+3)\frac{d^2y}{dx^2}+2 \frac{dy}{dx}+\frac{y}{(x+3)}=4\) |
A. | \(\frac{4x}{3}+2+\frac{1}{(x+3)}×c_1cos(\frac{\sqrt{3}}{2} log(x+3))+c_2sin(\frac{\sqrt{3}}{2} log(x+3))\) |
B. | \(\frac{4x}{3}+4+\frac{1}{(x+3)}×c_1cos(\frac{\sqrt{3}}{2} log(x+3))+c_2sin(\frac{\sqrt{3}}{2} log(x+3))\) |
C. | \(x+4+\frac{1}{(x+3)}×c_1cos(\frac{\sqrt{3}}{2} log(x+3))+c_2sin(\frac{\sqrt{3}}{2} log(x+3))\) |
D. | \(\frac{2x}{3}+4+\frac{1}{(x+3)}×c_1cos(\frac{\sqrt{3}}{2} log(x+3))+c_2sin(\frac{\sqrt{3}}{2} log(x+3))\) |
Answer» C. \(x+4+\frac{1}{(x+3)}×c_1cos(\frac{\sqrt{3}}{2} log(x+3))+c_2sin(\frac{\sqrt{3}}{2} log(x+3))\) | |