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Beliebt Rechnen >

y^{''}+y^'-7y=42t

Lösung

y^{^{''}} + y^{^{'}} - 7 y = 42 t

Lösung

y = c_{1} e^{\frac{( - 1 + 29 ) t}{2}} + c_{2} e^{\frac{( - 1 - 29 ) t}{2}} - 6 t - \frac{6}{7}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 7 y = 42 t

Solve linear ODE:

y = c_{1} e^{\frac{( - 1 + 29 ) t}{2}} + c_{2} e^{\frac{( - 1 - 29 ) t}{2}} - 6 t - \frac{6}{7}

y = c_{1} e^{\frac{( - 1 + 29 ) t}{2}} + c_{2} e^{\frac{( - 1 - 29 ) t}{2}} - 6 t - \frac{6}{7}

Graph

Beliebte Beispiele

y^{''}+y=2,y(0)=2,y(0)=0

y^{^{''}} + y = 2, y (0) = 2, y (0) = 0

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

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

x^{''}+5x^'+4x=t^2+3t+5

x^{^{''}} + 5 x^{^{'}} + 4 x = t^{2} + 3 t + 5

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

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

y^{''}+16y=e^{3t}

y^{^{''}} + 16 y = e^{3 t}