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Beliebt Rechnen >

y^{''}+4y^'+3y=50x*sin(x)

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 50 x \cdot sin (x)

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 5 x sin (x) - 10 x cos (x) + 2 sin (x) + 11 cos (x)

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 3 y = 50 x \cdot sin (x)

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 5 x sin (x) - 10 x cos (x) + 2 sin (x) + 11 cos (x)

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 5 x sin (x) - 10 x cos (x) + 2 sin (x) + 11 cos (x)

Graph

Beliebte Beispiele

y^{''}+y^'-2y=(2+6x)e^x

y^{^{''}} + y^{^{'}} - 2 y = (2 + 6 x) e^{x}

y^{''}+y=x^2+1,y(0)=5,y(1)=0

y^{^{''}} + y = x^{2} + 1, y (0) = 5, y (1) = 0

y^{''}+25y=10sin(5t)

y^{^{''}} + 25 y = 10 sin (5 t)

y^{''}-12y^'+36y=12x+6

y^{^{''}} - 12 y^{^{'}} + 36 y = 12 x + 6

x^{''}+100x^'+2500x=30

x^{^{''}} + 100 x^{^{'}} + 2500 x = 30