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Beliebt Rechnen >

y^{''}-y^'-5y=5t+7

Lösung

y^{^{''}} - y^{^{'}} - 5 y = 5 t + 7

Lösung

y = c_{1} e^{\frac{( 1 + 21 ) t}{2}} + c_{2} e^{\frac{( 1 - 21 ) t}{2}} - t - \frac{6}{5}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 5 y = 5 t + 7

Solve linear ODE:

y = c_{1} e^{\frac{( 1 + 21 ) t}{2}} + c_{2} e^{\frac{( 1 - 21 ) t}{2}} - t - \frac{6}{5}

y = c_{1} e^{\frac{( 1 + 21 ) t}{2}} + c_{2} e^{\frac{( 1 - 21 ) t}{2}} - t - \frac{6}{5}

Graph

Beliebte Beispiele

y^{''}+3y=-48xe^{3x}

y^{^{''}} + 3 y = - 48 x e^{3 x}

y^{''}+8y^'+8y=cos(4x)

y^{^{''}} + 8 y^{^{'}} + 8 y = cos (4 x)

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

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

x^{''}+6x^'+34x=68

x^{^{''}} + 6 x^{^{'}} + 34 x = 68

(d^2y)/(dx^2)-(dy)/(dx)=-3

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} = - 3