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Beliebt Rechnen >

y^'=cos(x)(3y-1)

Lösung

y^{^{'}} = cos (x) (3 y - 1)

Lösung

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} + \frac{1}{3}

Schritte zur Lösung

y^{'} (x) = cos (x) (3 y - 1)

Solve separable ODE:

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} + \frac{1}{3}

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} + \frac{1}{3}

Graph

Beliebte Beispiele

ln((dy)/(dx))=ax+by

ln (\frac{d y}{d x}) = a x + b y

2yy^'=15t^2,y(0)=4

2 y y^{^{'}} = 15 t^{2}, y (0) = 4

(dy)/(dx)=-7/4 x^3y^3

\frac{d y}{d x} = - \frac{7}{4} x^{3} y^{3}

x^2dy=(9+y^2)dx

x^{2} d y = (9 + y^{2}) d x

(1-y^2)^{1/2}dx-(1-x^2)^{1/2}dy=0

(1 - y^{2})^{\frac{1}{2}} d x - (1 - x^{2})^{\frac{1}{2}} d y = 0