Department

Mathematics

Course Code

MAT136H1

Professor

Al- Faisal, Faisal

Differential Equations Review

Question: True or False?

is the most general solution to the differential equations

- False! We can get other solutions by changing the 6 in to other numbers. It’s only

a solution, but not the most general solution to the differential equations.

Question: True or False?

everywhere.

Square-rooting x could give both but is not a function since it

won’t pass the vertical line test. However, it could give either or since

either one of them would be a function, but for this situation, it has to be in other

to satisfy the initial condition (pass through (0,3)).

Question: True or False?

Polynomials are never solutions to differential equations.

a polynomial.

Question: Suppose that is a solution to the differential equation

is

increasing for all x, then the graph of is concave up for all .

since is increasing, so must be >0 too

Increasing here

graph of general form not

taking into account initial conditions

true here

t

x

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