Given the differential equation x+10x=20 x(0-)=1 (a) (20%) use Euler's numerical integration to compute by hand...

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Given the differential equation x+10x=20 x(0-)=1 (a) (20%) use Euler's numerical integration to compute by hand the first two solution values of x(t) using a time step of 0.01. (b) (20%) Find the time constant and final time. Use MATLAB to obtain a plot of x Vs time. (c) (20%) Obtain the exact solution using Partial Fractions (d) (20%) Obtain the exact solution using Residue Method (e) (20%) compare the numerical solution values with the exact solution values by computing the percent error at the first two solution values from (a) % error =((xExact- xApprox)/XExact) 100 Given the differential equation x+10x=20 x(0-)=1 (a) (20%) use Euler's numerical integration to compute by hand the first two solution values of x(t) using a time step of 0.01. (b) (20%) Find the time constant and final time. Use MATLAB to obtain a plot of x Vs time. (c) (20%) Obtain the exact solution using Partial Fractions (d) (20%) Obtain the exact solution using Residue Method (e) (20%) compare the numerical solution values with the exact solution values by computing the percent error at the first two solution values from (a) % error =((xExact- xApprox)/XExact) 100