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Popular >

x(dy)/(dx)=4y

Solution

x \frac{d y}{d x} = 4 y

Solution

y = c_{1} x^{4}

Solution steps

x \frac{d y}{d x} = 4 y

Solve separable ODE:

y = c_{1} x^{4}

y = c_{1} x^{4}

Graph

Popular Examples

area y=x^3,x=-1,x=2,y=0 area

y = x^{3}, x = - 1, x = 2, y = 0

(\partial)/(\partial x)(3/4 (2-3x)^{4/3})

\frac{\partial}{\partial x} (\frac{3}{4} (2 - 3 x)^{\frac{4}{3}})

limit as x approaches 2 of 2x(x^2-3)

x \to 2 lim (2 x (x^{2} - 3))

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

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

area y=3x^2,y=x^4-x^2 area

y = 3 x^{2}, y = x^{4} - x^{2}

Frequently Asked Questions (FAQ)

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