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Popular >

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

Solution

x \frac{d y}{d x} = x^{2} + 3 y

Solution

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

Solution steps

x \frac{d y}{d x} = x^{2} + 3 y

Solve linear ODE:

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

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

Graph

Popular Examples

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

\int \frac{( x - 2 )}{4 x - x ^{2}} d x

derivative of (x-5/(x+5))

\frac{d}{d x} (\frac{x - 5}{x + 5})

slope of (4,-2),(-5,4)slope

(4, - 2), (- 5, 4)

derivative of-((x^3+x-1/2))

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

derivative of f(x)= 7/x-sqrt(x)derivative of

f (x) = \frac{7}{x} - x

Frequently Asked Questions (FAQ)

What is the solution for x(dy)/(dx)=x^2+3y ?
The solution for x(dy)/(dx)=x^2+3y is y=-x^2+c_{1}x^3