de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} + c_{4} x - \frac{x ^{4}}{48} - \frac{x ^{2}}{16} - e^{x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} + c_{4} x - \frac{x ^{4}}{48} - \frac{x ^{2}}{16} - e^{x}

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} + c_{4} x - \frac{x ^{4}}{48} - \frac{x ^{2}}{16} - e^{x}

Graph

Beliebte Beispiele

y^{''}+4y^'+3=5sin(t)

y^{^{''}} + 4 y^{^{'}} + 3 = 5 sin (t)

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

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

y^{''}-y^'-2y=1-x,y(0)=1,y^'(0)=1

y^{^{''}} - y^{^{'}} - 2 y = 1 - x, y (0) = 1, y^{^{'}} (0) = 1

y^{''}+y=(t-2pi),y(0)=10,y^'(0)=0

y^{^{''}} + y = (t - 2 π), y (0) = 10, y^{^{'}} (0) = 0

y^{''}+16y=3.36

y^{^{''}} + 16 y = 3.36