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Beliebt Rechnen >

(D-1)y=2sin(5t),y(0)=0

Lösung

(D - 1) y = 2 sin (5 t), y (0) = 0

Lösung

y = \frac{5}{13} e^{t} - \frac{1}{13} sin (5 t) - \frac{5}{13} cos (5 t)

Schritte zur Lösung

(D - 1) y = 2 sin (5 t)

Solve linear ODE:

y = \frac{5}{13} e^{t} - \frac{1}{13} sin (5 t) - \frac{5}{13} cos (5 t)

y = \frac{5}{13} e^{t} - \frac{1}{13} sin (5 t) - \frac{5}{13} cos (5 t)

Graph

Beliebte Beispiele

x^{''}-3x^'+x=-e^t

x^{^{''}} - 3 x^{^{'}} + x = - e^{t}

y^{^{''}} - 4 y^{^{'}} = 1

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

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

y^{'''}-5y^{''}+6y^'=6e^x

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 6 e^{x}

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

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