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Beliebt Rechnen >

y^'=t+ty^2,y(2)=0

Lösung

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

Lösung

y = tan (\frac{t ^{2}}{2} - 2)

Schritte zur Lösung

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

Solve separable ODE:

y = tan (\frac{t ^{2}}{2} - 2)

y = tan (\frac{t ^{2}}{2} - 2)

Graph

Beliebte Beispiele

derivative of (12/(x^3))

\frac{d}{d x} (\frac{12}{x ^{3}})

derivative of (x-9xsqrt(x)/(sqrt(x)))

\frac{d}{d x} (\frac{x - 9 x x}{x})

derivative f(x)= x/5

d er i v a t i v e f (x) = \frac{x}{5}

integral of y^4-8y^3+16y^2

\int y^{4} - 8 y^{3} + 16 y^{2} d y

(\partial)/(\partial y)(5e^y)

\frac{\partial}{\partial y} (5 e^{y})