de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-4y^'+5y=5x^2+2x

Lösung

y^{^{''}} - 4 y^{^{'}} + 5 y = 5 x^{2} + 2 x

Lösung

y = e^{2 x} (c_{1} cos (x) + c_{2} sin (x)) + x^{2} + 2 x + \frac{6}{5}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 5 y = 5 x^{2} + 2 x

Solve linear ODE:

y = e^{2 x} (c_{1} cos (x) + c_{2} sin (x)) + x^{2} + 2 x + \frac{6}{5}

y = e^{2 x} (c_{1} cos (x) + c_{2} sin (x)) + x^{2} + 2 x + \frac{6}{5}

Graph

Beliebte Beispiele

y^{''}-y^'+4=3x^2+4x

y^{^{''}} - y^{^{'}} + 4 = 3 x^{2} + 4 x

y^{'''}+3y^'+2=0

y^{^{'''}} + 3 y^{^{'}} + 2 = 0

y^{''}+4y^'+12y=80sin(2x)

y^{^{''}} + 4 y^{^{'}} + 12 y = 80 sin (2 x)

(d^2y)/(dt^2)+3/100 (dy)/(dt)=12

\frac{d ^{2} y}{d t ^{2}} + \frac{3}{100} \frac{d y}{d t} = 12

y^{''}=-y+cos(2t)

y^{^{''}} = - y + cos (2 t)