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Beliebt Rechnen >

e^{x^2}(dy)/(dx)+e^{x^2}2xy=e^{x^2}2x

Lösung

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

Lösung

y = e^{- x^{2} - c_{1}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- x^{2} - c_{1}} + 1

y = e^{- x^{2} - c_{1}} + 1

Graph

Beliebte Beispiele

y^'=-2*t*y^2,y(0)=1

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

x^{\frac{1}{3}} y^{^{'}} + y = 0

y^'=xy^3*(1+x^2)^{((-1)/2)}

y^{^{'}} = x y^{3} \cdot (1 + x^{2})^{(\frac{- 1}{2})}

3 y^{2} d y - t d t = 0

y^'+21x^2y=21x^2

y^{^{'}} + 21 x^{2} y = 21 x^{2}