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Beliebt Rechnen >

y^{''}+25y=82e^{4x}

Lösung

y^{^{''}} + 25 y = 82 e^{4 x}

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + 2 e^{4 x}

Schritte zur Lösung

y^{''} (x) + 25 y = 82 e^{4 x}

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + 2 e^{4 x}

y = c_{1} cos (5 x) + c_{2} sin (5 x) + 2 e^{4 x}

Graph

Beliebte Beispiele

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

y^{^{''}} - 4 y^{^{'}} + 4 y = - 3 e^{2 x} + \frac{e ^{2 x}}{x}

y^{''}+8y^'+12y=1-\H(t-3)

y^{^{''}} + 8 y^{^{'}} + 12 y = 1 - H (t - 3)

y^{''}-6y^'+9y=2,y^'(0)=6

y^{^{''}} - 6 y^{^{'}} + 9 y = 2, y^{^{'}} (0) = 6

y^{''}-2y^'-15y=-37t+30t^2

y^{^{''}} - 2 y^{^{'}} - 15 y = - 37 t + 30 t^{2}

y^{''}-y^'-6y=4cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 4 cos (3 x)