Question: Q 1 : Show your works step by step for all of the parts. Considering the following differential equation, dm _ 33(7 6t)e3t 3 3+5

Q 1 : Show your works step by step for all of the parts. Considering the following differential equation, dm _ 33(7 6t)e3t 3 3+5 a) Find which one is the dependent and which one is the independent variables of the differential equation. b) Explain if the above equation is directly integrable, linear differential equation or separable. c) solve for the general solution of the equation Q 3: Consider the following equation: dy_ 23y d3: _$ 332+1' Show all the steps a) Solve for the general solution of the differential equation. b) Solve for the particular solution that satisfies 1 29(0) = E

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