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Beliebt Rechnen >

e^{t^2}y^'+(t+ty^2)=0

Lösung

e^{t^{2}} y^{^{'}} + (t + t y^{2}) = 0

Lösung

y = tan (\frac{1}{2} e^{- t^{2}} + c_{1})

Schritte zur Lösung

e^{t^{2}} y^{'} (t) + (t + t y^{2}) = 0

Solve separable ODE:

y = tan (\frac{1}{2} e^{- t^{2}} + c_{1})

y = tan (\frac{1}{2} e^{- t^{2}} + c_{1})

Graph

Beliebte Beispiele

y^'=-0.000631594*sqrt(y)

y^{^{'}} = - 0.000631594 \cdot y

limit as x approaches 1+of (4x-1)/(x-1)

x \to 1 + lim (\frac{4 x - 1}{x - 1})

derivative f(x)=2cos(x)

d er i v a t i v e f (x) = 2 cos (x)

(\partial)/(\partial x)((25xy)/(x-y))

\frac{\partial}{\partial x} (\frac{25 x y}{x - y})

derivative tan((pix)/2)

d er i v a t i v e tan (\frac{π x}{2})