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Popular Calculus >

(dy)/(dx)=10xy

Solution

\frac{d y}{d x} = 10 x y

Solution

y = e^{5 x^{2} + c_{1}}

Solution steps

\frac{d y}{d x} = 10 x y

Solve separable ODE:

y = e^{5 x^{2} + c_{1}}

y = e^{5 x^{2} + c_{1}}

Graph

Popular Examples

(dz)/(dt)+7e^{t+z}=0

x(dy)/(dx)=tan(y)

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

(dy)/(dx)+3x^2y=5x^2

(dy)/(dx)= 1/3 sqrt(y)cos^2(sqrt(y))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=10xy ?
The solution for (dy)/(dx)=10xy is y=e^{5x^2+c_{1}}