de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

4y^{''}-4y^'+y=32e^{t/2}

Lösung

4 y^{^{''}} - 4 y^{^{'}} + y = 32 e^{\frac{t}{2}}

Lösung

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{\frac{t}{2}} t + 4 e^{\frac{t}{2}} t^{2}

Schritte zur Lösung

4 y^{''} (t) - 4 y^{'} (t) + y = 32 e^{\frac{t}{2}}

Solve linear ODE:

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{\frac{t}{2}} t + 4 e^{\frac{t}{2}} t^{2}

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{\frac{t}{2}} t + 4 e^{\frac{t}{2}} t^{2}

Graph

Beliebte Beispiele

y^{'''}+6y^{''}+9y^'=6x+2

y^{^{'''}} + 6 y^{^{''}} + 9 y^{^{'}} = 6 x + 2

y^{'''}-6y^{''}+12y^'-8y=t^3e^{2t}+1

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = t^{3} e^{2 t} + 1

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

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

y^{''}+3y^'+2y= 1/((1+e^x))

y^{^{''}} + 3 y^{^{'}} + 2 y = \frac{1}{( 1 + e ^{x} )}

y^{'''}-9y^{''}+108y=e^{6x}

y^{^{'''}} - 9 y^{^{''}} + 108 y = e^{6 x}