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Beliebt Rechnen >

y^{''}-3y^'+5=e^{2x}-3cos(3x)

Lösung

y^{^{''}} - 3 y^{^{'}} + 5 = e^{2 x} - 3 cos (3 x)

Lösung

y = c_{1} e^{3 x} + c_{2} - \frac{1}{2} e^{2 x} + \frac{1}{6} sin (3 x) + \frac{1}{6} cos (3 x) + \frac{5 x}{3}

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) + 5 = e^{2 x} - 3 cos (3 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} - \frac{1}{2} e^{2 x} + \frac{1}{6} sin (3 x) + \frac{1}{6} cos (3 x) + \frac{5 x}{3}

y = c_{1} e^{3 x} + c_{2} - \frac{1}{2} e^{2 x} + \frac{1}{6} sin (3 x) + \frac{1}{6} cos (3 x) + \frac{5 x}{3}

Graph

Beliebte Beispiele

(D^2+D)(y)=sin(x)

4y^{''}-y^'+6=0

(d^2y)/(dx^2)+2(dy)/(dx)+2*y=2

y^{''}+6y^'+9y=((16e^{-3x}))/(x^2+1)