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Popular >

(dy)/(dx)=2xy,y(0)=1

Solution

\frac{d y}{d x} = 2 x y, y (0) = 1

Solution

y = e^{x^{2}}

Solution steps

\frac{d y}{d x} = 2 x y

Solve separable ODE:

y = e^{x^{2}}

y = e^{x^{2}}

Popular Examples

derivative of (t^3)/3 derivative of

\frac{t ^{3}}{3}

tangent of f(x)= 1/(x^4),(-3, 1/81)tangent of

f (x) = \frac{1}{x ^{4}}, (- 3, \frac{1}{81})

taylor 1/(1-x),12 taylor

\frac{1}{1 - x}, 12

integral of (2x^3)/(x^2-4)

\int \frac{2 x ^{3}}{x ^{2} - 4} d x

derivative of |x-3|-|2x-2|-1xe[-2,2]

\frac{d}{d x} (∣ x - 3 ∣ - ∣ 2 x - 2 ∣ - 1 x e [- 2, 2])

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2xy,y(0)=1 ?
The solution for (dy)/(dx)=2xy,y(0)=1 is y=e^{x^2}