(dy)/(dx)y=ln(arccos(x^2+4))

Lösung

\frac{d y}{d x} y = ln (arccos (x^{2} + 4))

y = 2 \cdot \int ln (arccos (x^{2} + 4)) d x, y = - 2 \cdot \int ln (arccos (x^{2} + 4)) d x

Schritte zur Lösung

\frac{d y}{d x} y = ln (arccos (x^{2} + 4))

Solve separable ODE:

y = 2 \cdot \int ln (arccos (x^{2} + 4)) d x, y = - 2 \cdot \int ln (arccos (x^{2} + 4)) d x

y = 2 \cdot \int ln (arccos (x^{2} + 4)) d x, y = - 2 \cdot \int ln (arccos (x^{2} + 4)) d x

y^{^{'}} + y sin (x) = 3 sin (x)

(\frac{5 y}{3}) y^{^{'}} = x

y^{^{'}} + 16 y = 80

y^{^{'}} = 0.8 (y - 250)

3 y^{^{'}} - 6 y = 1