y^'=3t^2*e^{(y-2)}

Lösung

y^{^{'}} = 3 t^{2} \cdot e^{(y - 2)}

y = - ln (- \frac{1}{e ^{2}} t^{3} - c_{1})

Schritte zur Lösung

y^{'} (t) = 3 t^{2} \cdot e^{(y - 2)}

Solve separable ODE:

y = - ln (- \frac{1}{e ^{2}} t^{3} - c_{1})

y = - ln (- \frac{1}{e ^{2}} t^{3} - c_{1})

y^{^{'}} - 3 y = 79

7 x y \frac{d y}{d x} = 2 x, y > 0

x^{^{'}} = \frac{1 + t}{2 t x}

\frac{d y}{d t} + 1 + t^{2} y = 0

y^{^{'}} = - 3 y e^{t}, y (0) = 1