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Popular >

(dy)/(dx)=xsin(y)

Solução

\frac{d y}{d x} = x sin (y)

Solução

y = 2 arctan (e^{\frac{x ^{2}}{2} + c_{1}}) + 2 πn

Passos da solução

\frac{d y}{d x} = x sin (y)

Solve separable ODE:

y = 2 arctan (e^{\frac{x ^{2}}{2} + c_{1}}) + 2 πn

y = 2 arctan (e^{\frac{x ^{2}}{2} + c_{1}}) + 2 πn

Exemplos populares

(1+y^2)cos(x)dx-1xdy=0,y(0)= pi/4

(1 + y^{2}) cos (x) d x - 1 x d y = 0, y (0) = \frac{π}{4}

(dy)/(dx)=e^{x-y},y(0)=ln(6)

\frac{d y}{d x} = e^{x - y}, y (0) = ln (6)

xy+(10xy+x)y^'=0

x y + (10 x y + x) y^{^{'}} = 0

(dy)/(dt)=9tsin^2(y),y(-2)= pi/4

\frac{d y}{d t} = 9 t sin^{2} (y), y (- 2) = \frac{π}{4}

2 y^{^{'}} = e^{x - y}