de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-12y^'+36y=42x+2

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 42 x + 2

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{7 x}{6} + \frac{4}{9}

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 42 x + 2

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{7 x}{6} + \frac{4}{9}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{7 x}{6} + \frac{4}{9}

Graph

Beliebte Beispiele

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

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

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

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

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}