Modelización matemática y simulación numérica. Aplicaciones medioambientales.
Simulación numérica ejercicios
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Transcript of Simulación numérica ejercicios
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8/16/2019 Simulación numérica ejercicios
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QUINTA PRÁCTICA – MATLAB
1. a 6
1 − x2=
5
1 + x−
3
1 − x
>> syms x>> xsol=solve(6==2-8*x,x) xsol = -1/2
1. b ( x+2 )∗( x− 4 )7 ( x+3 )∗( x− 5 )−
( x+4 )∗( x− 7 )12 ( x+5 )∗( x− 8 )=
5
84
>> syms x>> xsol=solve(((x+2)*(x-4))/(7*(x+3)*(x-5))-((x+4)*(x-7))/(12*(x+5)*(x-8))==5/84,x) xsol = -25
2. ax2
+ 3 ∗ x+ 2.16 = 0
>> syms x>> xsol=solve(x^2+3*x+2.16==0,x) xsol = -6/5
-9/5
2. b x+ √ x2 + x+ 1
x− √ x2 + x+ 1+
x− √ x2 + x+ 1 x+ √ x2 + x+ 1
=− 11
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>> syms x>> xsol=solve(4*x^2-9*x-9==0,x) xsol =
3 -3/4
3. a 7 √5 16 + 5 x5 x+ 5 2 = 5
>> syms x>> xsol=solve(5^9==5^x,x) xsol = 9
3. bx x− √ x+1 = √ x+2
>> syms x>> xsol=solve(x^(x-(x+1)^0.5)==x^0.5+2,x) xsol = 3.1946144656910019847772576592229
4. a Ix − 5 I = I 3 x− 6 I
>> syms x>> xsol=solve(a s(x-5)==a s(3*x-6),x) xsol = 0.5
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4. b Ix− 3 I + I x2
− 1 I = 8
>> syms x>> xsol=solve(a s(x-3)+a s(x^2-1)==8,x)!a"#$#%& 'oss$ ly s "$o s sol $o#s. solvel$ && "y a e ys em!a"#$#%& 'oss$ ly s "$o s sol $o#s. solvel$ && "y a e ys em
xsol = -2.0
5. a 38 x+ 5 y= 550
56 x+60 y= 1200
>> syms x y>> x2,y2 =solve(38*x+5*y==550,56*x+60*y==1200) x2 = 27/2
y2 = 37/5
5. b x+ 1
3+
y− 12
= 0
x+ 2 y3
− x+ y+ 24
= 0
>> syms x y>> x2,y2 =solve((x+1)/3+(y-1)/2==0,(x+2*y)/3-(x+y+2)/4==0) x2 = -13/7
y2 =
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