1*(dy)/(dx)=5y,y(0)=2

Lösung

1 \cdot \frac{d y}{d x} = 5 y, y (0) = 2

y = 2 e^{5 x}

Schritte zur Lösung

1 \cdot \frac{d y}{d x} = 5 y

Solve separable ODE:

y = 2 e^{5 x}

y = 2 e^{5 x}

cos (y) \frac{d y}{d x} = x^{2} csc^{2} (y)

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

\frac{y - 1}{y ^{2}} d y = \frac{1 + x}{x ^{2}} d x

y^{^{'}} = 11 - y

\frac{y ^{2}}{x} \cdot y^{^{'}} = 1 + x^{2}