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Beliebt Rechnen >

y^{''}+2y=cos(sqrt(2))t+sin(sqrt(2))t

Lösung

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

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{( cos ( 2 ) + sin ( 2 ) ) t}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{( cos ( 2 ) + sin ( 2 ) ) t}{2}

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{( cos ( 2 ) + sin ( 2 ) ) t}{2}

Beliebte Beispiele

y^{''}+25y=7sec(5x)

y^{^{''}} + 25 y = 7 sec (5 x)

2y^{''}+3y^'+y=x^2,y(0)=0,y^'(0)=1

2 y^{^{''}} + 3 y^{^{'}} + y = x^{2}, y (0) = 0, y^{^{'}} (0) = 1

(d^2-1)y=sin^2(x)

(d^{2} - 1) y = sin^{2} (x)

41\H(x)-8u^'+u^{''}=0

41 H (x) - 8 u^{^{'}} + u^{^{''}} = 0

y^{^{''}} - 3 y = 6 x