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Popular >

(dy)/(dx)=15xy

Solution

\frac{d y}{d x} = 15 x y

Solution

y = e^{\frac{15 x ^{2}}{2} + c_{1}}

Solution steps

\frac{d y}{d x} = 15 x y

Solve separable ODE:

y = e^{\frac{15 x ^{2}}{2} + c_{1}}

y = e^{\frac{15 x ^{2}}{2} + c_{1}}

Popular Examples

x(xdy+ydx)+(2x^2+4)dy=0

x (x d y + y d x) + (2 x^{2} + 4) d y = 0

(x^2+4)y^'= x/(2y)

(x^{2} + 4) y^{^{'}} = \frac{x}{2 y}

sqrt(4-x^2)((dy)/(dx))=y^2,y=5,x=1

4 - x^{2} (\frac{d y}{d x}) = y^{2}, y = 5, x = 1

xdx+(ye^{-x})dy=0

x d x + (y e^{- x}) d y = 0

xy^'+8y+7=7x^2y^'+7y

x y^{^{'}} + 8 y + 7 = 7 x^{2} y^{^{'}} + 7 y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=15xy ?
The solution for (dy)/(dx)=15xy is y=e^{(15x^2)/2+c_{1}}