What is the order of ? 1.0 2.1 3.2 4.3. In general the solution to the equation is: 1. 2. 3. 4.

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Presentation transcript:

What is the order of ?

In general the solution to the equation is:

Consider the equation When we separate the variables, this equation becomes: Equation is not separable 5.

Which of the following are separable differential equations?

Use separation of variables to solve

Find the solution to which satisfies the initial condition y(0)=

Solve the differential equation given that y(0)=π

We want to test the function to see if it is a solution. What equation is the result? None of the above 4.

Which of the following would be the best trial solution to use, given

The equation is exact. It can be rewritten as which of the following?

Which of the following equations are exact?

Solve the exact equation

Solve the exact equation 1.y = cotx + Csinx 2.y = cotx + Ccosecx 3.y = tanx + Csinx 4.y = tanx + Ccosec x

What factor can this equation be multiplied by to make it exact? 1.x 2.x² 3.x³ 4.None of the above

If then the integrating factor is given by which of the following?

Solve the equation by finding its integrating factor

Which of the following is an example of a second order linear ODE?

Find the auxiliary equation for 1.3k² - 2k - 3y = 0 2.3k² - 2k - 3 = 0 3.3y’’ – 2y’ - 3y = 0 4.None of the above

Find the general solution to 1.y = Ae -2x + Be 3x 2.y = Ae 2x + Be -3x 3.y = Ae -2x + Be -3x 4.y = Ae 2x + Be 3x

Find the general solution to 1.y = (A + B)e 3x 2.y = Ae -3x + Be 3x 3.y = Ae -9x + Be 9x 4.y = (A + B)e -9x

Given a second order linear inhomogeneous equation the general solution is given by: All of the above 4.

What is the complimentary function of

If the auxiliary equation has complex roots, α + βi and α - βi, then the complimentary function is:

Is a particular integral of 1.Yes 2.No 3.Don’t know

Find a particular integral of the equation in the form y = Acos2x + Bsin2x

Find the general solution of