(dy)/(dx)=10e^{2x-y},y(0)=0

Lösung

\frac{d y}{d x} = 10 e^{2 x - y}, y (0) = 0

y = ln (5 e^{2 x} - 4)

Schritte zur Lösung

\frac{d y}{d x} = 10 e^{2 x - y}

Solve separable ODE:

y = ln (5 e^{2 x} - 4)

y = ln (5 e^{2 x} - 4)

\frac{d y}{d t} y = 3 cos (2 t)

2 y y^{^{'}} = x (x^{2} - 16)^{- \frac{1}{2}}

x^{^{'}} = - x + 2

y^{2} y^{^{'}} = x ln (x^{2})

x^{2} y^{^{'}} - y - y^{2} = 0