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Beliebt Rechnen >

x^2(dy)/(dx)+xy=1

Lösung

x^{2} \frac{d y}{d x} + x y = 1

Lösung

y = \frac{ln ( x )}{x} + \frac{c _{1}}{x}

Schritte zur Lösung

x^{2} \frac{d y}{d x} + x y = 1

Solve linear ODE:

y = \frac{ln ( x )}{x} + \frac{c _{1}}{x}

y = \frac{ln ( x )}{x} + \frac{c _{1}}{x}

Graph

Beliebte Beispiele

integral of sec^2(6x)

\int sec^{2} (6 x) d x

integral of t/(e^t)

\int \frac{t}{e ^{t}} d t

integral of (x+3)/(x^2-x+4)

\int \frac{x + 3}{x ^{2} - x + 4} d x

y^{''}+2y^'+y=4e-t

y^{^{''}} + 2 y^{^{'}} + y = 4 e - t

derivative 1y^2-7y^4(y+9y^3)

d er i v a t i v e 1 y^{2} - 7 y^{4} (y + 9 y^{3})