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(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 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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