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Popular >

(dy)/(dx)=-x^5y^2

Solution

\frac{d y}{d x} = - x^{5} y^{2}

Solution

y = - \frac{6}{- x ^{6} + c _{1}}

Solution steps

\frac{d y}{d x} = - x^{5} y^{2}

Solve separable ODE:

y = - \frac{6}{- x ^{6} + c _{1}}

y = - \frac{6}{- x ^{6} + c _{1}}

Popular Examples

(dP)/(dt)=7sqrt(Pt),P(1)=2

\frac{d P}{d t} = 7 Pt, P (1) = 2

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

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

cos(x)dx+(1+1/y)sin(x)dy=0

cos (x) d x + (1 + \frac{1}{y}) sin (x) d y = 0

(t^3+7t^3x^2)dt+xe^{t^4}dx=0

(t^{3} + 7 t^{3} x^{2}) d t + x e^{t^{4}} d x = 0

y^{^{'}} = k \frac{y}{x}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-x^5y^2 ?
The solution for (dy)/(dx)=-x^5y^2 is y=-6/(-x^6+c_{1)}