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Popular Calculus >

(dy)/(dx)=4x^3y-y

Solution

\frac{d y}{d x} = 4 x^{3} y - y

Solution

y = e^{x^{4} - x + c_{1}}

Solution steps

\frac{d y}{d x} = 4 x^{3} y - y

Solve separable ODE:

y = e^{x^{4} - x + c_{1}}

y = e^{x^{4} - x + c_{1}}

Graph

Popular Examples

integral of sqrt(9+25x^2)

\int 9 + 25 x^{2} d x

limit as x approaches 4 of ((x^4)/4)+1

x \to 4 lim ((\frac{x ^{4}}{4}) + 1)

laplacetransform tcos(t)

l a pl a ce t r an s f or m t cos (t)

integral of (x^2-1)

\int (x^{2} - 1) d x

y^{''}-10y^'+9y=27

y^{^{''}} - 10 y^{^{'}} + 9 y = 27

Frequently Asked Questions (FAQ)

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