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Beliebt Rechnen >

x*(dy)/(dx)+7y= 1/x

Lösung

x \cdot \frac{d y}{d x} + 7 y = \frac{1}{x}

Lösung

y = \frac{1}{6 x} + \frac{c _{1}}{x ^{7}}

Schritte zur Lösung

x \cdot \frac{d y}{d x} + 7 y = \frac{1}{x}

Solve linear ODE:

y = \frac{1}{6 x} + \frac{c _{1}}{x ^{7}}

y = \frac{1}{6 x} + \frac{c _{1}}{x ^{7}}

Graph

Beliebte Beispiele

integral of e^{5x}sin(5x)

\int e^{5 x} sin (5 x) d x

fläche y=cos(x),x= pi/4 ,x= pi/3

a re a y = cos (x), x = \frac{π}{4}, x = \frac{π}{3}

\frac{d y}{d x} + y = 0

integral of 1/(sqrt(x)(1+x))

\int \frac{1}{x ( 1 + x )} d x

(\partial)/(\partial x)(2^x)

\frac{\partial}{\partial x} (2^{x})