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Beliebt Rechnen >

(dy)/(dx)-2y^2cos^2(x)=3x^2y^2

Lösung

\frac{d y}{d x} - 2 y^{2} cos^{2} (x) = 3 x^{2} y^{2}

Lösung

y = - \frac{2}{2 x ^{3} + 2 x + sin ( 2 x ) + c _{1}}

Schritte zur Lösung

\frac{d y}{d x} - 2 y^{2} cos^{2} (x) = 3 x^{2} y^{2}

Solve separable ODE:

y = - \frac{2}{2 x ^{3} + 2 x + sin ( 2 x ) + c _{1}}

y = - \frac{2}{2 x ^{3} + 2 x + sin ( 2 x ) + c _{1}}

Graph

Beliebte Beispiele

(dy)/(dx)y=3x^5+4x^2+x^2+1000

\frac{d y}{d x} y = 3 x^{5} + 4 x^{2} + x^{2} + 1000

y^{^{'}} - 2 y^{^{'}} - 3 y = 0

x(y-1)dx+(x+1)dy=0,x=2

x (y - 1) d x + (x + 1) d y = 0, x = 2

y^'=(e^{-x}-e^x)/(3+4y),y(0)=1

y^{^{'}} = \frac{e ^{- x} - e ^{x}}{3 + 4 y}, y (0) = 1

y^2-1-(2y+xy)y^'=0

y^{2} - 1 - (2 y + x y) y^{^{'}} = 0