Question 1 Find the solution to the differential equation du 4. dt u², u(0) = 8 subject to the initial conditions µ = ???? Question 2 Find the solution to the differential equation dy + dx 0, 4 %3D subject to the initial conditions Y(0) = 6 y= ??? Question 3 Find the solution to the differential equation dy 0.4(y – 100) dt 55 when t = 0. if Y = y=??? Question 4 Find the solution to the differential equation dB + 6B = 70, dt В(1) 3 70 with B=????

Q: d²y 1. (a) Solve the second order differential equation 2- dx2 -12y+25sin(4x) = 0. 14 5 dx 1 (b)…

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Q: 2.xy (6) 3. у'%3D x² - y?

A: Given differential equation is y'=2xyx2-y2.

Q: solve the differential equation y" + y = cos(3x) cos(6x) by i. methods of undetermined coefficient…

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Q: Show complete and detailed solution Solve the differential equation: xy(dx-dy)=x2dy+y2dx if x=2,…

A: The given differential equation is; xy(dx-dy)=x2 dy+y2 dx if x=2, y=0.

Q: Select the third differential equation, dy=-x2+y+0.5, and set the initial values to xo = -2.1, Y0 =…

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Q: The differential equation: d'a +b+cx=0 has a solution given by: y = e(A sin ßx + B cos x) where a =…

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Q: (a) Solve cach of the following differential equations using separation of variables. i. ii. 2.…

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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.