Purchase Solution

Differential equations

Not what you're looking for?

Ask Custom Question





sinx(e^y + 1)dx=e^y(1+cosx)dy, Y(0)=0

Purchase this Solution

Solution Summary

This showsh ow to solve several different differential equations.

Solution Preview

1. (1-x^2)^(1/2)y'+1+y^2=0 implies that

y'/(1+y^2)=-1/((1-x^2)^(1/2) ) (1)

We have the formula

The definite integral of

1/((a^2+u^2) is 1/a* [ tan^(-1)(u/a)] +C

The definite integral of

1/((a^2-u^2)^(1/2) is sin^(-1)(u/a)+C.

Integrate both sides of (1) to get ( with a=1)

1/[ tan^(-1)(y)] = - sin^(-1)(x)+C.


tan(y)= 1/[- ...

Purchase this Solution

Free BrainMass Quizzes
Multiplying Complex Numbers

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

Graphs and Functions

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

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.