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Beliebt Rechnen >

(d-3)^3y=e^{3x}

Lösung

(d - 3)^{3} y = e^{3 x}

Lösung

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + c_{3} x^{2} e^{3 x} + \frac{e ^{3 x} x ^{3}}{6}

Schritte zur Lösung

(d - 3)^{3} y = e^{3 x}

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + c_{3} x^{2} e^{3 x} + \frac{e ^{3 x} x ^{3}}{6}

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + c_{3} x^{2} e^{3 x} + \frac{e ^{3 x} x ^{3}}{6}

Graph

Beliebte Beispiele

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

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

y^{''}+6y^'+8y=x^2

y^{^{''}} + 6 y^{^{'}} + 8 y = x^{2}

(d^2y)/(dx^2)+3(dy)/(dx)+2y=e^{4x}

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 2 y = e^{4 x}

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

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

y^{''}+4y^'=-32(x+2),y(0)=0,y^'(0)=-10

y^{^{''}} + 4 y^{^{'}} = - 32 (x + 2), y (0) = 0, y^{^{'}} (0) = - 10