(dy)/(dx)=10xsqrt(36-y^2),y>-6,y<6

Lösung

\frac{d y}{d x} = 10 x 36 - y^{2}, y > - 6, y < 6

y = 6 sin (5 x^{2} + c_{1})

Schritte zur Lösung

\frac{d y}{d x} = 10 x 36 - y^{2}

Solve separable ODE:

y = 6 sin (5 x^{2} + c_{1})

y = 6 sin (5 x^{2} + c_{1})

y^{^{'}} = - 0.7 y, y (0) = 80

\frac{d x}{d t} = 2 x + x

y^{^{'}} + \frac{t}{y ( t ^{2} - 1 )} = 0

y^{^{'}} = e^{9 x - 9 y}

y^{^{'}} = \frac{e ^{y}}{cos ^{2} ( t )}