Solve this Differential Equation to find its General Solution. \((x+3)\frac{d^2y}{dx^2}+2 \frac{dy}{dx}+\frac{y}{(x+3)}=
Posted: Thu Jul 14, 2022 9:29 am
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) \(\frac{2x}{3}+4+\frac{1}{(x+3)}×c_1cos(\frac{\sqrt{3}}{2} log(x+3))+c_2sin(\frac{\sqrt{3}}{2} log(x+3))\)
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) \(\frac{2x}{3}+4+\frac{1}{(x+3)}×c_1cos(\frac{\sqrt{3}}{2} log(x+3))+c_2sin(\frac{\sqrt{3}}{2} log(x+3))\)