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Beliebt Rechnen >

xy^'+2y*ln(x)=3

Lösung

x y^{^{'}} + 2 y \cdot ln (x) = 3

Lösung

y = \frac{3 π erfi ( ln ( x ) )}{2 e ^{l n^{2} (x)}} + \frac{c _{1}}{e ^{l n^{2} (x)}}

Schritte zur Lösung

x y^{'} (x) + 2 y \cdot ln (x) = 3

Solve linear ODE:

y = \frac{3 π erfi ( ln ( x ) )}{2 e ^{l n^{2} (x)}} + \frac{c _{1}}{e ^{l n^{2} (x)}}

y = \frac{3 π erfi ( ln ( x ) )}{2 e ^{l n^{2} (x)}} + \frac{c _{1}}{e ^{l n^{2} (x)}}

Beliebte Beispiele

integral from 0 to 1 of sin(npix)

\int_{0}^{1} sin (nπ x) d x

inverselaplace 3/s+(24)/(s^4)

in v erse l a pl a ce \frac{3}{s} + \frac{24}{s ^{4}}

(\partial)/(\partial y)(4x^3y^2)

\frac{\partial}{\partial y} (4 x^{3} y^{2})

inverselaplace 1/((s-4)^3)

in v erse l a pl a ce \frac{1}{( s - 4 ) ^{3}}

derivative of 6x^2-8x

\frac{d}{d x} (6 x^{2} - 8 x)