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Beliebt Rechnen >

y^{''}-y^'=xe(x),y(0)=2,y^'(0)=1

Lösung

y^{^{''}} - y^{^{'}} = x e (x), y (0) = 2, y^{^{'}} (0) = 1

Lösung

y = (2 - (1 - 2 e)) e^{x} + 1 - 2 e - \frac{e x ^{3}}{3} - e x^{2} - 2 e x

Schritte zur Lösung

y^{''} (x) - y^{'} (x) = x e (x)

Solve linear ODE:

y = (2 - (1 - 2 e)) e^{x} + 1 - 2 e - \frac{e x ^{3}}{3} - e x^{2} - 2 e x

y = (2 - (1 - 2 e)) e^{x} + 1 - 2 e - \frac{e x ^{3}}{3} - e x^{2} - 2 e x

Graph

Beliebte Beispiele

x^{''}+x^'+12x=40cos(3t)

x^{^{''}} + x^{^{'}} + 12 x = 40 cos (3 t)

y^{''}-3y^'=e^{3x}

y^{^{''}} - 3 y^{^{'}} = e^{3 x}

y^{''}-4y^'+3y=2e^t

y^{^{''}} - 4 y^{^{'}} + 3 y = 2 e^{t}

y^{'''}-y^{''}+y^'-y=9e^{-x}

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = 9 e^{- x}

y^{''}+4y=-20sin(2t)

y^{^{''}} + 4 y = - 20 sin (2 t)