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Beliebt Rechnen >

x^2y^{''}+2xy^'-6y=x^2-2

Lösung

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

Lösung

y = c_{1} x^{2} + \frac{c _{2}}{x ^{3}} + \frac{15 x ^{2} ln ( x ) - 3 x ^{2} + 25}{75}

Schritte zur Lösung

x^{2} y^{''} (x) + 2 x y^{'} (x) - 6 y = x^{2} - 2

Solve linear ODE:

y = c_{1} x^{2} + \frac{c _{2}}{x ^{3}} + \frac{15 x ^{2} ln ( x ) - 3 x ^{2} + 25}{75}

y = c_{1} x^{2} + \frac{c _{2}}{x ^{3}} + \frac{15 x ^{2} ln ( x ) - 3 x ^{2} + 25}{75}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(d)

\frac{\partial}{\partial x} (d)

derivative of e^{10}

\frac{d}{d x} (e^{10})

fläche (x-1)^3,x-1,0,2

a re a (x - 1)^{3}, x - 1, 0, 2

f (x) = \frac{2}{2 x + 1}

(\partial)/(\partial y)(1/(sqrt(x^2+y^2)))

\frac{\partial}{\partial y} (\frac{1}{x ^{2} + y ^{2}})