de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

3y^{''}+y^'-2y=x^2-3x+7

Lösung

3 y^{^{''}} + y^{^{'}} - 2 y = x^{2} - 3 x + 7

Lösung

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

Schritte zur Lösung

3 y^{''} (x) + y^{'} (x) - 2 y = x^{2} - 3 x + 7

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+y^'-10y=xe^{2x}

y^{^{'''}} + y^{^{'}} - 10 y = x e^{2 x}

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

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

y^{''}+2y^'+y=21e^{-t}

y^{^{''}} + 2 y^{^{'}} + y = 21 e^{- t}

y^{''}-2y^'+y=8e^x-1/6 x^3+3x

y^{^{''}} - 2 y^{^{'}} + y = 8 e^{x} - \frac{1}{6} x^{3} + 3 x

y^{^{''}} + y^{^{'}} = 5