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Beliebt Rechnen >

y^'=(2x+sec^2(x))/(2y),y(0)=-5

Lösung

y^{^{'}} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 5

Lösung

y = - x^{2} + tan (x) + 25

Schritte zur Lösung

y^{'} (x) = \frac{2 x + sec ^{2} ( x )}{2 y}

Solve separable ODE:

y = - x^{2} + tan (x) + 25

y = - x^{2} + tan (x) + 25

Graph

Beliebte Beispiele

2sin(2x)dx+3e^{ey}dy=2xdx

2 sin (2 x) d x + 3 e^{ey} d y = 2 x d x

(dy)/(dx)=2y^2+2y-12

\frac{d y}{d x} = 2 y^{2} + 2 y - 12

x(dy)/(dx)-2y=0,y=4x

x \frac{d y}{d x} - 2 y = 0, y = 4 x

(dy)/(dx)+3ex^2y=6x^2

\frac{d y}{d x} + 3 e x^{2} y = 6 x^{2}

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

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