de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'-3y=e^{3x}(2+8x-12x^2)

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = e^{3 x} (2 + 8 x - 12 x^{2})

Lösung

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

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) - 3 y = e^{3 x} (2 + 8 x - 12 x^{2})

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+20y^'+125y=9sin(5x)

y^{^{''}} + 20 y^{^{'}} + 125 y = 9 sin (5 x)

y^{''}+y^'-2y=e^t,y(0)=0,y^'(0)=1

y^{^{''}} + y^{^{'}} - 2 y = e^{t}, y (0) = 0, y^{^{'}} (0) = 1

y^{''}+6y^'+9y= 1/x

y^{^{''}} + 6 y^{^{'}} + 9 y = \frac{1}{x}

x^{''}+4x^'+4x=100sin(4t)

x^{^{''}} + 4 x^{^{'}} + 4 x = 100 sin (4 t)

x^{''}+50x^'+400x=100cos(20t)

x^{^{''}} + 50 x^{^{'}} + 400 x = 100 cos (20 t)