# What is a solution to the differential equation #dy/dx=(3y)/(2+x)#?

This differential equation is separable.

[where C is generic constant]

By signing up, you agree to our Terms of Service and Privacy Policy

The solution to the differential equation ( \frac{dy}{dx} = \frac{3y}{2+x} ) is given by:

[ y = Ce^{\frac{3}{2} \ln|2+x|} ]

Where ( C ) is the constant of integration.

By signing up, you agree to our Terms of Service and Privacy Policy

- What is the arclength of #f(x)=3x^2-x+4# on #x in [2,3]#?
- How do you find all solutions of the differential equation #(d^2y)/(dx^2)=2x+1#?
- A metal rod is 60 cm long and is heated at one end. The temperature at a point on the rod at distance x cm from the heated end is denoted by T. At a point halfway along the rod, #T=290# and #(dT)/dx = -6#?
- What is the surface area of the solid created by revolving #f(x) =e^(3x-2) , x in [1,2]# around the x axis?
- How do you determine if #f(x,y)=(xy)/sqrt(x^2+y^2)# is homogeneous and what would it's degree be?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7