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Beliebt Rechnen >

2y^'-3=-y+y^{''}+16e^{3x}+3e^{2x}+5

Lösung

2 y^{^{'}} - 3 = - y + y^{^{''}} + 16 e^{3 x} + 3 e^{2 x} + 5

Lösung

y = c_{1} e^{(1 - 2) x} + c_{2} e^{(1 + 2) x} - 8 e^{3 x} + 3 e^{2 x} + 8

Schritte zur Lösung

2 y^{'} (x) - 3 = - y + y^{''} (x) + 16 e^{3 x} + 3 e^{2 x} + 5

Solve linear ODE:

y = c_{1} e^{(1 - 2) x} + c_{2} e^{(1 + 2) x} - 8 e^{3 x} + 3 e^{2 x} + 8

y = c_{1} e^{(1 - 2) x} + c_{2} e^{(1 + 2) x} - 8 e^{3 x} + 3 e^{2 x} + 8

Graph

Beliebte Beispiele

y^{''}+2y^'-3y=6x-3e^{2x}

y^{^{''}} + 2 y^{^{'}} - 3 y = 6 x - 3 e^{2 x}

y^{''}+3y^'+2y=sin(t),y(0)=1,y^'(0)=1

y^{^{''}} + 3 y^{^{'}} + 2 y = sin (t), y (0) = 1, y^{^{'}} (0) = 1

y^{''}+4y+4y^{''}=e^xx^2

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

y^{''}-2y^'-15y=3x

y^{^{''}} - 2 y^{^{'}} - 15 y = 3 x

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

(y^{^{''}} + 2 y^{^{'}} + 5) = e^{\frac{x}{3}}