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 )

Question

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 )

TuteeHUB · Accepted Answer

(x+4+  frac{1}{(x+3)} c_1cos u2061(  frac{  sqrt{3}}{2} log u2061(x+3))+c_2sin u2061(  frac{  sqrt{3}}{2} log u2061(x+3))  )

TuteeHUB · Answer

(  frac{4x}{3}+2+  frac{1}{(x+3)} c_1cos u2061(  frac{  sqrt{3}}{2} log u2061(x+3))+c_2sin u2061(  frac{  sqrt{3}}{2} log u2061(x+3))  )

TuteeHUB · Answer

(  frac{4x}{3}+4+  frac{1}{(x+3)} c_1cos u2061(  frac{  sqrt{3}}{2} log u2061(x+3))+c_2sin u2061(  frac{  sqrt{3}}{2} log u2061(x+3))  )

TuteeHUB · Answer

(x+4+  frac{1}{(x+3)} c_1cos u2061(  frac{  sqrt{3}}{2} log u2061(x+3))+c_2sin u2061(  frac{  sqrt{3}}{2} log u2061(x+3))  )

TuteeHUB · Answer

(  frac{2x}{3}+4+  frac{1}{(x+3)} c_1cos u2061(  frac{  sqrt{3}}{2} log u2061(x+3))+c_2sin u2061(  frac{  sqrt{3}}{2} log u2061(x+3))  )

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 u2061( frac{ sqrt{3}}{2} log u2061(x+3))+c_2sin u2061( frac{ sqrt{3}}{2} log u2061(x+3)) )
B.	( frac{4x}{3}+4+ frac{1}{(x+3)} c_1cos u2061( frac{ sqrt{3}}{2} log u2061(x+3))+c_2sin u2061( frac{ sqrt{3}}{2} log u2061(x+3)) )
C.	(x+4+ frac{1}{(x+3)} c_1cos u2061( frac{ sqrt{3}}{2} log u2061(x+3))+c_2sin u2061( frac{ sqrt{3}}{2} log u2061(x+3)) )
D.	( frac{2x}{3}+4+ frac{1}{(x+3)} c_1cos u2061( frac{ sqrt{3}}{2} log u2061(x+3))+c_2sin u2061( frac{ sqrt{3}}{2} log u2061(x+3)) )
Answer» C. (x+4+ frac{1}{(x+3)} c_1cos u2061( frac{ sqrt{3}}{2} log u2061(x+3))+c_2sin u2061( frac{ sqrt{3}}{2} log u2061(x+3)) )

Discussion