de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- x} + c_{3} x e^{- x} - \frac{x ^{2}}{2} + \frac{3 x}{2} - \frac{9}{4}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} + c_{3} x e^{- x} - \frac{x ^{2}}{2} + \frac{3 x}{2} - \frac{9}{4}

y = c_{1} e^{2 x} + c_{2} e^{- x} + c_{3} x e^{- x} - \frac{x ^{2}}{2} + \frac{3 x}{2} - \frac{9}{4}

Graph

Beliebte Beispiele

y^{''}-3y^'-4=-8e^tcos(2t)

y^{^{''}} - 3 y^{^{'}} - 4 = - 8 e^{t} cos (2 t)

y^{''}-64y=-192t+128t^2

y^{^{''}} - 64 y = - 192 t + 128 t^{2}

y^{'''}-5y^{''}+6y^'=2x+3e^{2x}

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 2 x + 3 e^{2 x}

y^{''}+2y^'+2y=2cos(x)+sin(x)

y^{^{''}} + 2 y^{^{'}} + 2 y = 2 cos (x) + sin (x)

y^{''}+2y^'-3y=32(3x+1)e^{-3x}

y^{^{''}} + 2 y^{^{'}} - 3 y = 32 (3 x + 1) e^{- 3 x}