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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

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

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

(dr(θ))/(r(θ))=(r(θ)dθ)/(θ^2)

\frac{d r ( θ )}{r ( θ )} = \frac{r ( θ ) d θ}{θ ^{2}}

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

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

y^{^{'}} = 0.2 x y

y^'=(ycos(x))/(1-2y)

y^{^{'}} = \frac{y cos ( x )}{1 - 2 y}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=y^2cos(x) ?
The solution for (dy)/(dx)=y^2cos(x) is y=-1/(sin(x)+c_{1)}