Find the general solution 1.(1+x2) (d2y/dx2) + x (dy/dx) + ax = 0 2. ρ(dθ/dρ) –2/ρ...

Find the general solution

1.(1+x²) (d²y/dx²) + x (dy/dx) + ax = 0

2. ρ(dθ/dρ) –2/ρ (dρ/dθ) = 0

3.(dy/dx)² -4x (dy/dx) +6y = 0

4.y(d²y/dx²) + (dy/dx)² = (dy/dx)

5.Solve simultaneously:

(dx/dt) + (dy/dt) + y –x = e^2t

(d²x/dt²) + (dy/dt) = 3 e^2t

6.Using method of variation of parameter, solve: y'' – 8 y' +16 y = 6x e^4x

Expert Solution

Colby Messinger answered 7 months ago

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