Given that y = A cos (5x)+B sin(5x) is a solution to a second order differential equation 1dy dy 109 +3-+17y=0 cos(5x) when solve using undetermined coefficient method. What is the expression that dx 2dx2 represent A and B?

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Q: d. 2ydx +x(x² In y – 1)dy = 0 -

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A: xdy-y+x2cosxdx=0xdy-ydx-x2cosxdx=0xdydx-y-x2cosx=0dydx-yx=xcosxFirst order linear diff. eq.

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Q: undetermined

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A: we have to solve differential equation

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Q: 2 Find the general solution to the differential equation: y"+25y = 20 sin 5x

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Q: 3. The dearee of the differential equation below is: * (2) (2)* + sin(2) + 1 = = 0 dx

A: Question 3,Given,            d2ydx23+dydx2+sindydx+1=0

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Q: 2. Solve the Second order differential equation d y dy 4+11 y = e“ sin 4x. dx

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Q: Find the general solution of the differential equation y" +y = 7 sin(2t)+ 5t cos(2t).

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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.