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Beliebt Rechnen >

y^{''}-4y^'+4=sin(x)

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 = sin (x)

Lösung

y = c_{1} e^{4 x} + c_{2} - \frac{1}{17} sin (x) + \frac{4}{17} cos (x) + x

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 = sin (x)

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} - \frac{1}{17} sin (x) + \frac{4}{17} cos (x) + x

y = c_{1} e^{4 x} + c_{2} - \frac{1}{17} sin (x) + \frac{4}{17} cos (x) + x

Graph

Beliebte Beispiele

y^{''}+2y^'=4,y(0)=3,y^'(0)=5

y^{^{''}} + 2 y^{^{'}} = 4, y (0) = 3, y^{^{'}} (0) = 5

y^{''}+y=tsin(t)

y^{^{''}} + y = t sin (t)

y^{''}+3y^'+2y=x^2-1

y^{^{''}} + 3 y^{^{'}} + 2 y = x^{2} - 1

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

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

y^{''}-4y^'+5y=(2e^{2x})/(sin(x))

y^{^{''}} - 4 y^{^{'}} + 5 y = \frac{2 e ^{2 x}}{sin ( x )}