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Popular >

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

Solución

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

Solución

y = \frac{x ^{2}}{2} + 2 x + c_{1}, y = - \frac{x ^{2}}{2} + 2 x + c_{1}

Pasos de solución

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

Solve separable ODE:

y = \frac{x ^{2}}{2} + 2 x + c_{1}, y = - \frac{x ^{2}}{2} + 2 x + c_{1}

y = \frac{x ^{2}}{2} + 2 x + c_{1}, y = - \frac{x ^{2}}{2} + 2 x + c_{1}

Ejemplos populares

x^2(dy)/(dx)+xy=3x

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

y^'=(5sin(x))/(sin(y)),y(0)= pi/2

y^{^{'}} = \frac{5 sin ( x )}{sin ( y )}, y (0) = \frac{π}{2}

(dy)/(dx)=(3x^2-2x)/(2y+1),y(0)=2

\frac{d y}{d x} = \frac{3 x ^{2} - 2 x}{2 y + 1}, y (0) = 2

y^{^{'}} = y + y^{2}

y^'=t*e^y,y(2)=0

y^{^{'}} = t \cdot e^{y}, y (2) = 0