Solve the equation x" +9x = - 35(t-). x(0) = 1, x'(0) = 0

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

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Q: Find a particular solution to the differential equation

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Q: FIND THE GREATEST SOLUTION df dx tr SIA X to THE DIFFERENTIAL EQUATION

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Q: 1 1 7. The system X' = 0 2 3 X+ -2 4t e Use the method of Undetermined Coefficients. 0 0 5 2

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Q: y" – y' - 2y = 4x2

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Q: y" + 6y' +9 = 0

A: To find solution of the differential equation y"+6y'+9y=0

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.