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Beliebt Rechnen >

((2y)/x+2x)+(2ln(x)-3)(dy)/(dx)=0

Lösung

(\frac{2 y}{x} + 2 x) + (2 ln (x) - 3) \frac{d y}{d x} = 0

Lösung

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

Schritte zur Lösung

(\frac{2 y}{x} + 2 x) + (2 ln (x) - 3) \frac{d y}{d x} = 0

Solve linear ODE:

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

Graph

Beliebte Beispiele

derivative of-x^2+8x-12

\frac{d}{d x} (- x^{2} + 8 x - 12)

derivative of sqrt(2x-5)

\frac{d}{d x} (2 x - 5)

tangent y=x^3-3x+5,(3,23)

t an g e n t y = x^{3} - 3 x + 5, (3, 23)

tangent f(x)= x/(x^2+1),\at x=0

t an g e n t f (x) = \frac{x}{x ^{2} + 1}, at x = 0

integral of 1/(1-v)

\int \frac{1}{1 - v} d v