de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+7y^'+10y=3x^2+x-2

Lösung

y^{^{''}} + 7 y^{^{'}} + 10 y = 3 x^{2} + x - 2

Lösung

y = c_{1} e^{- 2 x} + c_{2} e^{- 5 x} + \frac{3 x ^{2}}{10} - \frac{8 x}{25} - \frac{9}{250}

Schritte zur Lösung

y^{''} (x) + 7 y^{'} (x) + 10 y = 3 x^{2} + x - 2

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} e^{- 5 x} + \frac{3 x ^{2}}{10} - \frac{8 x}{25} - \frac{9}{250}

y = c_{1} e^{- 2 x} + c_{2} e^{- 5 x} + \frac{3 x ^{2}}{10} - \frac{8 x}{25} - \frac{9}{250}

Graph

Beliebte Beispiele

y^{''}-4y=8x^3,y(0)=0,y^'(0)=1

y^{^{''}} - 4 y = 8 x^{3}, y (0) = 0, y^{^{'}} (0) = 1

y^{''}+ay^'+by=sin(x)+1

y^{^{''}} + a y^{^{'}} + b y = sin (x) + 1

y^{''}-y^'-6y=5cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 5 cos (3 x)

y^{''}-18y^'+81y=t^9e^{9t}

y^{^{''}} - 18 y^{^{'}} + 81 y = t^{9} e^{9 t}

y^{''}-y^'=3-4x,y(0)=-3,y^'(0)=0

y^{^{''}} - y^{^{'}} = 3 - 4 x, y (0) = - 3, y^{^{'}} (0) = 0