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Beliebt Rechnen >

(dy)/(dx)=(2x+sec^2(x))/(2y),y(0)=-3

Lösung

\frac{d y}{d x} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 3

Lösung

y = - x^{2} + tan (x) + 9

Schritte zur Lösung

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

Solve separable ODE:

y = - x^{2} + tan (x) + 9

y = - x^{2} + tan (x) + 9

Graph

Beliebte Beispiele

derivative of-3+8x

\frac{d}{d x} (- 3 + 8 x)

integral from 1 to 2 of (y^4)/8+1/(4y^2)

\int_{1}^{2} \frac{y ^{4}}{8} + \frac{1}{4 y ^{2}} d y

derivative of-sin(pix)

\frac{d}{d x} (- sin (π x))

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

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

derivative of arcsin(x-2x)

\frac{d}{d x} (arcsin (x) - 2 x)