Question: (a) Use the method of the integrating factor to solve the following ordinary differential equation for the function x(t) dtdx+xt=t,x(0)=0.[6marks] (b) Plot the isoclines for

(a) Use the method of the integrating factor to solve the

(a) Use the method of the integrating factor to solve the following ordinary differential equation for the function x(t) dtdx+xt=t,x(0)=0.[6marks] (b) Plot the isoclines for the following first order differential equation: dtdx=x+t and draw a qualitative solution for the initial condition x(0)=1. [4 marks]

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