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This is all ONE Question with parts, Please take your time and answer all parts.. (A through H).

NEED ALL PARTS OF THE QUESTION WITH WORK

1. Consider the initial value problem (IVP): dz - 4x - 2y, y(1) 2 Compute 10 steps of Eulers Method (EM), using a step size

The given differential equation is linear. Rewrite it in standard form, and then solve it, using an integrating factor. Write

e. To 6 decimal places, the correct value is y (2) 3.135335. Use the EULER calculator program (or a spreadsheet or an Euler w

Thank You!

math   Advanced-Math   
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Answer #1

a)

x y y' h*y'
1.000000 2.000000 0.000000 0.000000
1.100000 2.000000 0.400000 0.040000
1.200000 2.040000 0.720000 0.072000
1.300000 2.112000 0.976000 0.097600
1.400000 2.209600 1.180800 0.118080
1.500000 2.327680 1.344640 0.134464
1.600000 2.462144 1.475712 0.147571
1.700000 2.609715 1.580570 0.158057
1.800000 2.767772 1.664456 0.166446
1.900000 2.934218 1.731565 0.173156
2.000000 3.107374 1.785252 0.178525

(b)

x y y' h*y'
1.000000 2.000000 0.000000 0.000000
1.050000 2.000000 0.200000 0.010000
1.100000 2.010000 0.380000 0.019000
1.150000 2.029000 0.542000 0.027100
1.200000 2.056100 0.687800 0.034390
1.250000 2.090490 0.819020 0.040951
1.300000 2.131441 0.937118 0.046856
1.350000 2.178297 1.043406 0.052170
1.400000 2.230467 1.139066 0.056953
1.450000 2.287420 1.225159 0.061258
1.500000 2.348678 1.302643 0.065132
1.550000 2.413811 1.372379 0.068619
1.600000 2.482430 1.435141 0.071757
1.650000 2.554187 1.491627 0.074581
1.700000 2.628768 1.542464 0.077123
1.750000 2.705891 1.588218 0.079411
1.800000 2.785302 1.629396 0.081470
1.850000 2.866772 1.666456 0.083323
1.900000 2.950095 1.699811 0.084991
1.950000 3.035085 1.729830 0.086491
2.000000 3.121577 1.756847 0.087842

(c)

21 2乂 2기 -2オ 2

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