d'x dx +4 +9x 2cos(3t) dt? Given the following differential equation: 3t dt a) What's the order of the differential equation? b) What's the independent variable? c) What's the dependent variable? d) Is this an ordinary or partial differential equation? e) Is this a linear or non-linear differential equation?

Q: find the differential equation of y =C1cos(w+C2), w is A PARAMETER

A: To find the differential equation.

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Q: sin(2t +) dt eu-3 %3D 64

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A: The answer is given as follows:

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Q: 1. (a) Find the differential of g(u, v) = u² + uv. (b) Use your answer to part (a) to estimate the…

A: Here we have to find the differentials of g(u,v)=u2+uv .

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Q: (D²-3D+2)y=ex Solve the differential equation by using operators method.

A: The differential equationThe auxiliary equation

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.