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Beliebt Rechnen >

(dy)/(dx)=x^5sqrt(y)

Lösung

\frac{d y}{d x} = x^{5} y

Lösung

y = \frac{x ^{12}}{144} + \frac{c _{1} x ^{6}}{12} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = x^{5} y

Solve separable ODE:

y = \frac{x ^{12}}{144} + \frac{c _{1} x ^{6}}{12} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{12}}{144} + \frac{c _{1} x ^{6}}{12} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

y^{^{'}} = t y^{\frac{1}{2}}

(t^2+5t)x^'=5x+5,x(1)=6

(t^{2} + 5 t) x^{^{'}} = 5 x + 5, x (1) = 6

y^'= 1/5 sqrt(y)cos^2(sqrt(y))

y^{^{'}} = \frac{1}{5} y cos^{2} (y)

y^{^{'}} + 2 y - 4 = 0

(dy)/(dx)+ln(x)*y=3*ln(x)

\frac{d y}{d x} + ln (x) \cdot y = 3 \cdot ln (x)