(dy)/(dx)sin(pix)=ycos(pix)

Lösung

\frac{d y}{d x} sin (π x) = y cos (π x)

y = c_{1} sin^{\frac{1}{π}} (π x)

Schritte zur Lösung

\frac{d y}{d x} sin (π x) = y cos (π x)

Solve separable ODE:

y = c_{1} sin^{\frac{1}{π}} (π x)

y = c_{1} sin^{\frac{1}{π}} (π x)

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

y^{^{'}} = \frac{x ^{2}}{y ^{3}}

2 sin (x) - y^{2} \frac{d y}{d x} = 0, y (0) = 1

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

\frac{d y}{d x} + x^{3} y = 4 x^{3}