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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

x^{''}+3x^'+61/4 x= 1/2 e^t

x^{^{''}} + 3 x^{^{'}} + \frac{61}{4} x = \frac{1}{2} e^{t}

y^{''}+4y^'=3sin(2t)

y^{^{''}} + 4 y^{^{'}} = 3 sin (2 t)

y^{'''}+y^'=sec(t),y^'(0)=3

y^{^{'''}} + y^{^{'}} = sec (t), y^{^{'}} (0) = 3

(d^2-2d)y=e^xsin(x)

(d^{2} - 2 d) y = e^{x} sin (x)