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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{x ^{6}}{36} + \frac{c _{1} x ^{3}}{6} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{x ^{6}}{36} + \frac{c _{1} x ^{3}}{6} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{6}}{36} + \frac{c _{1} x ^{3}}{6} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

xy+(x^2+y^2)((dy)/(dx))=0

x y + (x^{2} + y^{2}) (\frac{d y}{d x}) = 0

limit as s approaches-3 of \sqrt[3]{(-4+5s+3s^2)/(-s^3+s+40)}

s \to - 3 lim (3 \frac{- 4 + 5 s + 3 s ^{2}}{- s ^{3} + s + 40})

tangent f(x)=sin(x)

t an g e n t f (x) = sin (x)

(\frac{1}{x + 2})^{^{'}}

integral from-1 to 4 of 3y-(y^2-4)

\int_{- 1}^{4} 3 y - (y^{2} - 4) d y