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Beliebt Rechnen >

(dy)/(dx)=((x+y)^2)/(2x^2)

Lösung

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

Lösung

y = tan (\frac{1}{2} ln (x) + c_{1}) x

Schritte zur Lösung

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

Solve using substitution:

y = tan (\frac{1}{2} ln (x) + c_{1}) x

y = tan (\frac{1}{2} ln (x) + c_{1}) x

Graph

Beliebte Beispiele

derivative of x^2-4xy+y^2

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

x^{2} y^{^{'}} + x y = 9

derivative of ln(x(x-1))

\frac{d}{d x} (ln (x) (x - 1))

implicit (dy)/(dx),5cos(8x)sin(5y)=8

im pl i c i t \frac{d y}{d x}, 5 cos (8 x) sin (5 y) = 8

y^{^{''}} = 12 t - 2