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Popular >

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

Solution

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

Solution

y = ln (x^{4} + c_{1})

Solution steps

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

Solve separable ODE:

y = ln (x^{4} + c_{1})

y = ln (x^{4} + c_{1})

Popular Examples

(y^')/(y^{1/2)}=-u

\frac{y ^{^{'}}}{y ^{\frac{1}{2}}} = - u

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

3 \frac{d y}{d x} + 2 y = 5

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

\frac{d y}{d x} = (y^{2} + y^{2} cos (x))^{2}

y^'=-3y^{4/3}sin(t)

y^{^{'}} = - 3 y^{\frac{4}{3}} sin (t)

(dy)/(dx)=(x+1)/(e^y)

\frac{d y}{d x} = \frac{x + 1}{e ^{y}}

Frequently Asked Questions (FAQ)

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