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Beliebt Rechnen >

(dx)/(dy)=4(x^2+1),x(pi/4)=1

Lösung

\frac{d x}{d y} = 4 (x^{2} + 1), x (\frac{π}{4}) = 1

Lösung

x = tan (4 y + \frac{π}{4} - π)

Schritte zur Lösung

\frac{d x}{d y} = 4 (x^{2} + 1)

Solve separable ODE:

x = tan (4 y + \frac{π}{4} - π)

x = tan (4 y + \frac{π}{4} - π)

Graph

Beliebte Beispiele

integral from 1 to 6 of (x^2+5)/(7x-x^2)

\int_{1}^{6} \frac{x ^{2} + 5}{7 x - x ^{2}} d x

laplacetransform (cos(7t))/(e^{5t)}

l a pl a ce t r an s f or m \frac{cos ( 7 t )}{e ^{5 t}}

x(dy)/(dx)+y=y^2x^2ln(x)

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

derivative of sin^2(pix)

\frac{d}{d x} (sin^{2} (π x))

integral of x^{-8}

\int x^{- 8} d x