Purchase Solution

# Ordinary differential equations

Not what you're looking for?

I would like someone to introduce me to ODE and answer questions as they arise.

##### Solution Summary

This provides a brief introduction to ordinary differential equations. The ordinary differential equation integration is examined.

##### Solution Preview

ODE is the part of calculus where both integration as well as differentiation are used..
simple equation:
dy/dx = f(x) : degree 1, order 1.
ORDER of eqn. : order of highest derivative
DEGREE of eqn.: index or power or raised to the highest order derivative
e.g. (dy/dx)^3 + (d^2y/dx^2)^2 : order 2, degree 2 (not 3)
Now,
e.g. eqn: dy/dx = sin(x)
solution=> dy = sin(x). dx
=> y = integration[sin(x)]dx = -cos(x) + const.

dy/dx = f(x,y) : order 1, degree 1
e.g dy/dx = sin(x)/{sec(y).tan(y)}
=> sec(y).tan(y) dy = sin(x) dx
=> int[sec(y).tan(y)] dy = int[sin(x)] dx
=> sec(y) = ...

Solution provided by:
###### Education
• MSc , Pune University, India
• PhD (IP), Pune University, India
###### Recent Feedback
• " In question 2, you incorrectly add in the \$3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
• "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
• "Great thanks"
• "Perfect solution..thank you"

##### Graphs and Functions

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

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Multiplying Complex Numbers

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