y^'-2ty=-t,y(0)= 15/2

Lösung

y^{^{'}} - 2 t y = - t, y (0) = \frac{15}{2}

y = 7 e^{t^{2}} + \frac{1}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = 7 e^{t^{2}} + \frac{1}{2}

y = 7 e^{t^{2}} + \frac{1}{2}

x^{3} d x + (y + 1) d y = 0

2 x y y^{^{'}} = x + 3

e^{- (x^{2} + y^{2})} (x d x + y d y) = 0

x^{2} y d y - e^{y} d x = 0

y^{^{'}} = \frac{y + 3}{7 t + 50}, y (2) = 0