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Popular >

y^'=2x^3y

Solution

y^{^{'}} = 2 x^{3} y

Solution

y = e^{\frac{x ^{4}}{2} + c_{1}}

Solution steps

y^{'} (x) = 2 x^{3} y

Solve separable ODE:

y = e^{\frac{x ^{4}}{2} + c_{1}}

y = e^{\frac{x ^{4}}{2} + c_{1}}

Graph

Popular Examples

y^{^{'}} y = t, y (3) = - 3

(dx)/(dy)=e^{2x+3y},x(0)=1

\frac{d x}{d y} = e^{2 x + 3 y}, x (0) = 1

(3x-2)dx+(4y+b)dy=0

(3 x - 2) d x + (4 y + b) d y = 0

y^'=((3t^2))/(4+2y)

y^{^{'}} = \frac{( 3 t ^{2} )}{4 + 2 y}

y^'= 1/2 (y^2-1),y(0)=6

y^{^{'}} = \frac{1}{2} (y^{2} - 1), y (0) = 6

Frequently Asked Questions (FAQ)

What is the solution for y^'=2x^3y ?
The solution for y^'=2x^3y is y=e^{(x^4)/2+c_{1}}