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Beliebt Rechnen >

y^{''}-y^'+14y=(4+ex)/2

Lösung

y^{^{''}} - y^{^{'}} + 14 y = \frac{4 + e x}{2}

Lösung

y = e^{\frac{x}{2}} (c_{1} cos (\frac{55 x}{2}) + c_{2} sin (\frac{55 x}{2})) + \frac{e x}{28} + \frac{56 + e}{392}

Schritte zur Lösung

y^{''} (x) - y^{'} (x) + 14 y = \frac{4 + e x}{2}

Solve linear ODE:

y = e^{\frac{x}{2}} (c_{1} cos (\frac{55 x}{2}) + c_{2} sin (\frac{55 x}{2})) + \frac{e x}{28} + \frac{56 + e}{392}

y = e^{\frac{x}{2}} (c_{1} cos (\frac{55 x}{2}) + c_{2} sin (\frac{55 x}{2})) + \frac{e x}{28} + \frac{56 + e}{392}

Graph

Beliebte Beispiele

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

y^{'''}+2y^{''}-5y^'-6y=sin(6t)

y^{''}+9y=7sec(3x)

y^{''}-36y=-42e^{-5t},y(0)=7,y^'(0)=0

y^{''}-7y^'+6y=2,y^'(0)=7