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Beliebt Rechnen >

(dy)/(dx)y-6x^3+cos(x)=0

Lösung

\frac{d y}{d x} y - 6 x^{3} + cos (x) = 0

Lösung

y = 3 x^{4} - 2 sin (x) + c_{1}, y = - 3 x^{4} - 2 sin (x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y - 6 x^{3} + cos (x) = 0

Solve separable ODE:

y = 3 x^{4} - 2 sin (x) + c_{1}, y = - 3 x^{4} - 2 sin (x) + c_{1}

y = 3 x^{4} - 2 sin (x) + c_{1}, y = - 3 x^{4} - 2 sin (x) + c_{1}

Graph

Beliebte Beispiele

y^'=(xy^3)/5 ,y(0)=5

y^{^{'}} = \frac{x y ^{3}}{5}, y (0) = 5

(dx)/(dy)= 4/(xe^y)

\frac{d x}{d y} = \frac{4}{x e ^{y}}

y^'=-x/y ,y(4)=-3

y^{^{'}} = - \frac{x}{y}, y (4) = - 3

y^'=2xy+x,y(0)=1

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

(dy)/(dx)4cos(x)sin(y)=1

\frac{d y}{d x} 4 cos (x) sin (y) = 1