Give an example of a differential equation.  Identify its type according to linearity, form, order. (Write legibly to avoid confusion, ty:) ) Example: 2y"+y"' = 5 sin x Answer: Linear Third Order Differential Equations.

Q: show solution curves of differential equations. In each exercise, find an equation for the curve…

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Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: A thermometer is moved from a room where the temperature is 68 °F to a freezer where the temperature…

A: (a) The thermometer is moved to the freezer, so the surrounding temperature is 12°F

Q: Solve the differential equation y' = x + y by making the change of variable u = x + y.

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Q: FIND THE UNEAR DIFFERENTIAL OPERATOR THAT "ANNIHILATES THE FUNCTION, (x + 3xe6x)

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Q: Sketch two periods of the graph of the function p(x) = tan (x-7) Identify the stretching factor,…

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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.