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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}+c*y=g(x),y(0)=0,y^'(0)=0

y^{^{''}} + c \cdot y = g (x), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-36y=24sin(6t)

y^{^{''}} - 36 y = 24 sin (6 t)

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

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

y^{''}-10y^'+25y=t^{-9}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 9} e^{5 t}