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Beliebt Rechnen >

xy^'=4x^2-2y,y(1)=3

Lösung

x y^{^{'}} = 4 x^{2} - 2 y, y (1) = 3

Lösung

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

Schritte zur Lösung

x y^{'} (x) = 4 x^{2} - 2 y

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

fläche y^2-27x=0,x+y=0

a re a y^{2} - 27 x = 0, x + y = 0

tangent f(x)=x^3+4x-2,\at x=1

t an g e n t f (x) = x^{3} + 4 x - 2, at x = 1

derivative 50ln(2x+1)-x/2

d er i v a t i v e 50 ln (2 x + 1) - \frac{x}{2}

integral from 5 to infinity of 2/(x^3)

\int_{5}^{\infty} \frac{2}{x ^{3}} d x

inverselaplace (5s+2)/((s+1)(s+2)^2)

in v erse l a pl a ce \frac{5 s + 2}{( s + 1 ) ( s + 2 ) ^{2}}