de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-8y^'+16y=(e^{4x})/x

Lösung

y^{^{''}} - 8 y^{^{'}} + 16 y = \frac{e ^{4 x}}{x}

Lösung

y = c_{1} e^{4 x} + c_{2} x e^{4 x} - e^{4 x} x + e^{4 x} x ln (x)

Schritte zur Lösung

y^{''} (x) - 8 y^{'} (x) + 16 y = \frac{e ^{4 x}}{x}

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} x e^{4 x} - e^{4 x} x + e^{4 x} x ln (x)

y = c_{1} e^{4 x} + c_{2} x e^{4 x} - e^{4 x} x + e^{4 x} x ln (x)

Graph

Beliebte Beispiele

(2D^2-3D+1)y=csc(2pix)

(2 D^{2} - 3 D + 1) y = csc (2 π x)

y^{''}-7y^'=x^2

y^{^{''}} - 7 y^{^{'}} = x^{2}

x^{''}+3x^'+2x=3cos(2t)

x^{^{''}} + 3 x^{^{'}} + 2 x = 3 cos (2 t)

2x^{''}+5x^'+4x=10r(t)

2 x^{^{''}} + 5 x^{^{'}} + 4 x = 10 r (t)

x^{''}+6x^'-4x=8e^t

x^{^{''}} + 6 x^{^{'}} - 4 x = 8 e^{t}