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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- x} + 3 x

Schritte zur Lösung

y^{''} (x) + y^{'} (x) = 3

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + 3 x

y = c_{1} + c_{2} e^{- x} + 3 x

Graph

Beliebte Beispiele

y^{''}-2y^'-7y=1e^{5t}

y^{^{''}} - 2 y^{^{'}} - 7 y = 1 e^{5 t}

9y^{''}+4y^'-y=22

9 y^{^{''}} + 4 y^{^{'}} - y = 22

x^{''}+4x=12*cos(t)

x^{^{''}} + 4 x = 12 \cdot cos (t)

(D^3-2D^2-5D+6)y=e^{4x}

(D^{3} - 2 D^{2} - 5 D + 6) y = e^{4 x}

10y^{''}+20y^'+6260y=100

10 y^{^{''}} + 20 y^{^{'}} + 6260 y = 100