tell whether each equation has one solution infinitely many solutions or no solution justify your answer 3-7t=-5t+3-2t
1 answer:
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The solution for the initial value problem is
Given,
y" + 4y' + 5y = 35
y(0) = -5
y'(0) = 1
Solve this homogenous equation to get
According to differential operator theorem,
=
( A cos (bx) + B sin (bx)), where A and B are constants.
Therefore,
y" + 4y' + 5y = 0
( + 4D + 5)y = 0
D = -2± i
Now, solve for
A function of the kind is the function on the right, we are trying a solution of the form
, here c is a constant.
Then the general solution will be like:
=
B = 1 - 24 + 28 = 5
Then the solution for the given initial value problem is
Learn more about initial value problem here: brainly.com/question/8599681
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