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Beliebt Rechnen >

y^'= y/x+x/(2(y+x))

Lösung

y^{^{'}} = \frac{y}{x} + \frac{x}{2 ( y + x )}

Lösung

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

Schritte zur Lösung

y^{'} (x) = \frac{y}{x} + \frac{x}{2 ( y + x )}

Solve using substitution:

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

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

Graph

Beliebte Beispiele

integral from 2 to 5 of x/(sqrt(x-1))

\int_{2}^{5} \frac{x}{x - 1} d x

derivative of 1/(4x^2+1)

\frac{d}{d x} (\frac{1}{4 x ^{2} + 1})

(\partial)/(\partial x)(((2x+3y))/(4x+5y))

\frac{\partial}{\partial x} (\frac{( 2 x + 3 y )}{4 x + 5 y})

f(x)=sqrt(x^2+5)

f (x) = x^{2} + 5

taylor cos(pix),1

t a y l or cos (π x), 1