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Beliebt Rechnen >

(dy)/(dx)-y/x =1-1/x

Lösung

\frac{d y}{d x} - \frac{y}{x} = 1 - \frac{1}{x}

Lösung

y = x ln (x) + 1 + c_{1} x

Schritte zur Lösung

\frac{d y}{d x} - \frac{y}{x} = 1 - \frac{1}{x}

Solve linear ODE:

y = x ln (x) + 1 + c_{1} x

y = x ln (x) + 1 + c_{1} x

Graph

Beliebte Beispiele

(\partial)/(\partial y)(tan(xy))

\frac{\partial}{\partial y} (tan (x y))

integral of (2ti+j+k)

\int (2 t i + j + k) d t

integral of 5sin(3x)

\int 5 sin (3 x) d x

derivative y=log_{3}(5x^4)

d er i v a t i v e y = lo g_{3} (5 x^{4})

implicit 2x^2+y^2-7=0

im pl i c i t 2 x^{2} + y^{2} - 7 = 0