(d^3-d^2-d+1)y=1+x^2

Lösung

(d^{3} - d^{2} - d + 1) y = 1 + x^{2}

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} x e^{x} + x^{2} + 2 x + 5

Schritte zur Lösung

(d^{3} - d^{2} - d + 1) y = 1 + x^{2}

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} x e^{x} + x^{2} + 2 x + 5

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} x e^{x} + x^{2} + 2 x + 5

(d^{3} + 4 d) y = 4 cot (2 x)

d (x) = 243 e^{- 0} 0.1 x

(d^{2} - 2 d) y = e^{x} + e^{- x}

(d^{2} - 7 d + 10) y = 5 x + 7

y^{^{''}} + 4 y = 5 e^{x}