# What is the general solution of the differential equation #(y^2-1)xdx + (x+2)ydy = 0#?

the general (implicit) solution is:

# y^2 = 1+A(x+2)^4 e^(-2x) #

We have:

Which if we write in the form

Which is separable, so we can "separate the variables" to get:

Then we integrate (steps omitted) to get:

Leading to the general (implicit) solution:

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

The general solution of the given differential equation is y^3 - y - x^2 - 2x = C, where C is an arbitrary constant.

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

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=x^2, y=4x-x^2#, about the x-axis, the line y=3?
- How do you find the volume of a solid of revolution washer method?
- What is a solution to the differential equation #dy/dx=(2x)/y#?
- How do you find the general solution to #dy/dx=(2x)/e^(2y)#?
- What is the average value of a function # y = x^2 (x^3 + 1)^(1/2) # on the interval #[0, 2]#?

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