Differential Equations
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You are watching: Match the third order linear equations with their fundamental solution sets.

Find the general solution to the homogeneous differential equation
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through and Left to your very own tools, you will probably write dvery own the correctanswers, however in case you want to quibble, enter your answers so thatthe features are normalized through their worths at t=0 equal to0 and also 1 (respectively), and they are expressed as ssuggest as possible.

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The workPoint Cost: 3
2. Find the general solution to the homogeneous differential equation
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via and also Left to your own devices, you will more than likely create down the correctanswers, but in instance you desire to quibble, enter your answers so thatthe attributes are normalized with their values at t=0 equal to0 and also 1(respectively), and also they are expressed as ssuggest as feasible.
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The workPoint Cost: 3
3.Find all values of k for which the feature y=sin(kt) satisfies the differential equation y""+19y=0. Sepaprice your answers by commas.
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The work
4.Find y as a duty of t if
y(0) = 6, y"(0) = 8 y=
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5.Find y as a role of t if
The solution is .
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11.Match the 3rd order linear equations through their basic solution sets.

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The work
12.Find y as a role of x if