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Beliebt Rechnen >

x^2y^{''}-7xy^'+16y=0

Lösung

x^{2} y^{^{''}} - 7 x y^{^{'}} + 16 y = 0

Lösung

y = c_{1} x^{4} + c_{2} ln (x) x^{4}

Schritte zur Lösung

x^{2} y^{''} (x) - 7 x y^{'} (x) + 16 y = 0

Solve linear ODE:

y = c_{1} x^{4} + c_{2} ln (x) x^{4}

y = c_{1} x^{4} + c_{2} ln (x) x^{4}

Graph

Beliebte Beispiele

fläche y=-3x^3+x^2+10x,x>= 0

a re a y = - 3 x^{3} + x^{2} + 10 x, x \geq 0

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

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

derivative e^{4/5 x}

d er i v a t i v e e^{\frac{4}{5} x}

derivative of sqrt(x+1)-2

\frac{d}{d x} (x + 1 - 2)

derivative of (e^{4x^{2+1}}/8)

\frac{d}{d x} (\frac{e ^{4 x^{2 + 1}}}{8})