Question 1 Find the solution to the differential equation du 4- dt subject to the initial conditions u(0) = 8 Question 2 Find the solution to the differential equation dy 0, 4 dx subject to the initial conditions Y(0) = 6 Question 3 Find the solution to the differential equation dy = 0.4(y – 100) dt if Y = 55. when t 0. Question 4 Find the solution to the differential equation dB + 6B = 70, dt B(1) = 70 with Question 5 Find the solution to the differential equation dz = 5te2- dt that passes through the origin. ||

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