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g356x25 - original

# g356x25 - original - x =(9/100 3/460*345^(1/2*exp(1/10-25...

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Sheet1 Page 1 % %Gilat 356/25 %First, need to solve differential equation %Part(a) syms t x=dsolve('10*D2x + 3*Dx + 28*x=0','x(0)=.18','Dx(0)=0') x = 27/55550*exp(-3/20*t)*sin(1/20*1111^(1/2)*t)*1111^(1/2)+9/50*exp(-3/20*t)*cos(1/20*1111^(1/2)*t) v=diff(x,t) v = -252/27775*exp(-3/20*t)*sin(1/20*1111^(1/2)*t)*1111^(1/2) %MUST have both plots on same page,NOT same graph - use subplot() t=[0:0.1:20] x1=eval(vectorize(x)) v1=eval(vectorize(v)) subplot(2,1,1) plot(t,x1) xlabel('Time(s)') ylabel('Distance(m)') subplot(2,1,2) plot(t,v1) xlabel('Time(s)') ylabel('Velocity(m/s)') % %Part (b) syms t x=dsolve('10*D2x + 50*Dx + 28*x=0','x(0)=.18','Dx(0)=0')

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Unformatted text preview: x = (9/100+3/460*345^(1/2))*exp(1/10*(-25+345^(1/2))*t)+(-3/460*345^(1/2)+9/100)*exp(-1/10*(25+345^(1/2))*t) v=diff(x,t) v = (9/100+3/460*345^(1/2))*(-5/2+1/10*345^(1/2))*exp(1/10*(-25+345^(1/2))*t)+(-3/460*345^(1/2)+9/100)*(-5/2-1/10*345^(1/2))*e x %MUST have both plots on same page,NOT same graph - use subplot() t=[0:0.1:10] x1=eval(vectorize(x)) v1=eval(vectorize(v)) Sheet1 Page 2 subplot(2,1,1) plot(t,x1) xlabel('Time(s)') ylabel('Distance(m)') subplot(2,1,2) plot(t,v1) xlabel('Time(s)') ylabel('Velocity(m/s)') % echo off Sheet1 Page 3 *t) Sheet1 Page 4 diary off...
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