Question: Exercise 3: 901' + 43/ = 8x4, 37(1) = 2 With the help of Mathematica: 1) Find the general solution and the particular solution of

Exercise 3: 901' + 43/ = 8x4, 37(1) = 2 With the help of Mathematica: 1) Find the general solution and the particular solution of the differential equation and the initial value problem respectively, following the procedure of the textbook/slides (performing integrations and using the formula of linear ODEs). 2) Find the general solution of the ODE and the particular solution of the initial value problem with the help of DSolve. 3) Verify the this is indeed the general solution. 4) Make a plot of the particular solution. Exercise 4: y' + 29(ny = 906))?\" (a E 11%) This is the famous Bernoulli differential equation. Working with the previous equation and with the help of Mathematica, prove that the equation can be transformed into linear form
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