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Popular >

y^'=-6xy

Solution

y^{^{'}} = - 6 x y

Solution

y = e^{- 3 x^{2} + c_{1}}

Solution steps

y^{'} (x) = - 6 x y

Solve separable ODE:

y = e^{- 3 x^{2} + c_{1}}

y = e^{- 3 x^{2} + c_{1}}

Graph

Popular Examples

y^'(x)=(9x^2)/(9y^2-11),y(1)=0

y^{^{'}} (x) = \frac{9 x ^{2}}{9 y ^{2} - 11}, y (1) = 0

d/(dh)(2(2+h)^{(2)}+5(2+h)-3)

\frac{d}{d h} (2 (2 + h)^{(2)} + 5 (2 + h) - 3)

yy^'=(t^2)/((1+t^3))

y y^{^{'}} = \frac{t ^{2}}{( 1 + t ^{3} )}

integral of x^3cosh(x)

\int x^{3} cosh (x) d x

integral of (3x^3-8x^2+10)/(x(x-1)^3)

\int \frac{3 x ^{3} - 8 x ^{2} + 10}{x ( x - 1 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=-6xy ?
The solution for y^'=-6xy is y=e^{-3x^2+c_{1}}