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Beliebt Rechnen >

xy^'-y=xln(x)

Lösung

x y^{^{'}} - y = x ln (x)

Lösung

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

Schritte zur Lösung

x y^{'} (x) - y = x ln (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative 4^xx^4

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

x(x+1)((dy)/(dx))+xy=1

x (x + 1) (\frac{d y}{d x}) + x y = 1

(x^2+y^2)dx+6xydy=0

(x^{2} + y^{2}) d x + 6 x y d y = 0

derivative of x+2y

\frac{d}{d x} (x + 2 y)

(\partial)/(\partial x)(3cos(x+y))

\frac{\partial}{\partial x} (3 cos (x + y))