Question: Question 3(a) Solve the linear differential equation, dydt=e4yt3-e4y, which satisfies the condition y=0 when x=1, and express the solution in the form of y=f(x).(8 marks)(b)

Question 3(a) Solve the linear differential equation, dydt=e4yt3-e4y, which satisfies the condition y=0 when x=1, and express the solution in the form of y=f(x).(8 marks)(b) Solve the linear differential equation, (1x)dydxy=cosx, which satisfies the condition y(0)=1, and express the solution in the form of y=f(x).(8 marks)(c) Solve d2ydt22dydt5y=-5t26t17 given t=0,y=12 and dydt=-1.(18 marks)

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