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Beliebt Rechnen >

y^'sec(x)=5y^2,y((13pi)/2)= 1/8

Lösung

y^{^{'}} sec (x) = 5 y^{2}, y (\frac{13 π}{2}) = \frac{1}{8}

Lösung

y = - \frac{1}{5 sin ( x ) - 13}

Schritte zur Lösung

y^{'} (x) sec (x) = 5 y^{2}

Solve separable ODE:

y = - \frac{1}{5 sin ( x ) - 13}

y = - \frac{1}{5 sin ( x ) - 13}

Graph

Beliebte Beispiele

(y^')/(y^{1/2)}=-10

\frac{y ^{^{'}}}{y ^{\frac{1}{2}}} = - 10

(9 + x) y^{^{'}} = 2 y

(dy)/(dx)=cos(x)(2-y)

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

(dy)/(dt)=(sqrt(t))/(sqrt(y))

\frac{d y}{d t} = \frac{t}{y}

(dy)/(dx)=(x-2)/(2y^2)

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