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Beliebt Rechnen >

y^'=y(xy^5+3)

Lösung

y^{^{'}} = y (x y^{5} + 3)

Lösung

y = 5 \frac{45 e ^{15 x}}{- 15 x e ^{15 x} + e ^{15 x} + c _{1}}

Schritte zur Lösung

y^{'} (x) = y (x y^{5} + 3)

Solve Bernoulli ODE:

y = 5 \frac{45 e ^{15 x}}{- 15 x e ^{15 x} + e ^{15 x} + c _{1}}

y = 5 \frac{45 e ^{15 x}}{- 15 x e ^{15 x} + e ^{15 x} + c _{1}}

Graph

Beliebte Beispiele

limit as x approaches-3 of x^3-2x^2+x+7

x \to - 3 lim (x^{3} - 2 x^{2} + x + 7)

y^'-y=2te^{2t},y(0)=1

y^{^{'}} - y = 2 t e^{2 t}, y (0) = 1

(\partial)/(\partial x)(sin(xyz))

\frac{\partial}{\partial x} (sin (x yz))

inverselaplace 1/(s(s^2+25))

in v erse l a pl a ce \frac{1}{s ( s ^{2} + 25 )}

tangent y=4tan(x),\at x= pi/3

t an g e n t y = 4 tan (x), at x = \frac{π}{3}