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Beliebt Rechnen >

y^{''}-2y^'=3x^2+1

Lösung

y^{^{''}} - 2 y^{^{'}} = 3 x^{2} + 1

Lösung

y = c_{1} e^{2 x} + c_{2} - \frac{x ^{3}}{2} - \frac{3 x ^{2}}{4} - \frac{5 x}{4}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} - \frac{x ^{3}}{2} - \frac{3 x ^{2}}{4} - \frac{5 x}{4}

y = c_{1} e^{2 x} + c_{2} - \frac{x ^{3}}{2} - \frac{3 x ^{2}}{4} - \frac{5 x}{4}

Graph

Beliebte Beispiele

(D^2+100)(D^2-100)(D+10)^4x=100

y^{''}+2y^'+y=xe^{-x}+cos(x)

y^{''}+4y=x^2+5*cos(2x)

y^{''}+4y=16sin(2t),y(0)=0,y^'(0)=0

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