de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{\frac{( 3 + 33 ) x}{4}} + c_{3} e^{\frac{( 3 - 33 ) x}{4}} - 3 x^{2} e^{2 x} - 24 e^{2 x} x - 138 e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{\frac{( 3 + 33 ) x}{4}} + c_{3} e^{\frac{( 3 - 33 ) x}{4}} - 3 x^{2} e^{2 x} - 24 e^{2 x} x - 138 e^{2 x}

y = c_{1} e^{x} + c_{2} e^{\frac{( 3 + 33 ) x}{4}} + c_{3} e^{\frac{( 3 - 33 ) x}{4}} - 3 x^{2} e^{2 x} - 24 e^{2 x} x - 138 e^{2 x}

Graph

Beliebte Beispiele

y^{''}-2y^'=3x^2+1

y^{^{''}} - 2 y^{^{'}} = 3 x^{2} + 1

(D^2+100)(D^2-100)(D+10)^4x=100

(D^{2} + 100) (D^{2} - 100) (D + 10)^{4} x = 100

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

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

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

y^{^{''}} + 4 y = x^{2} + 5 \cdot cos (2 x)

y^{''}+4y=16sin(2t),y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = 16 sin (2 t), y (0) = 0, y^{^{'}} (0) = 0