Purchase Solution

Differential Equations : Separation of Variables

Not what you're looking for?

Ask Custom Question

5. Let y(x) be the solution to the differential equation
(x2+1)1/2dy - (x/y)dx = 0 satisfying y(31/2) = 3.
Then [y(81/2)]2 =

A. 6 B. 8 C. 10
D. 11 E. 13

Attachments
Purchase this Solution

Solution Summary

Separation of Variables is used to solve a Differential Equation. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.

Solution Preview

Ok, here we can separate the variables to get:

ydy=xdx/sqrt(1+x^2)

Now we can integrate the sides:

The left hand side would be:
y^2/2

For the ...

Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.