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Beliebt Rechnen >

2y^{''}+y^'-y=3x+4

Lösung

2 y^{^{''}} + y^{^{'}} - y = 3 x + 4

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- x} - 3 x - 7

Schritte zur Lösung

2 y^{''} (x) + y^{'} (x) - y = 3 x + 4

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- x} - 3 x - 7

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- x} - 3 x - 7

Graph

Beliebte Beispiele

y^{''}-5y^'+6y=x^2-4

y^{^{''}} - 5 y^{^{'}} + 6 y = x^{2} - 4

y^{''}+2y^'+y=xe^{-x}+4

y^{^{''}} + 2 y^{^{'}} + y = x e^{- x} + 4

y^{''}-14y^'+49y=10e^{7x}

y^{^{''}} - 14 y^{^{'}} + 49 y = 10 e^{7 x}

y^{''}+y^'-12y=sin(t),y(0)=1,y^'(0)=1

y^{^{''}} + y^{^{'}} - 12 y = sin (t), y (0) = 1, y^{^{'}} (0) = 1

solvefor y,(d^2+5d+6)y=(d+1)6t^2

so l v e f or y, (d^{2} + 5 d + 6) y = (d + 1) 6 t^{2}