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1. Find particular solution of the following differential equation: dy 15- + 2r-3 dr - 3x-2 =0 Boundary condition: y=0 when x-1

1. Find particular solution of the following differential equation: dy 15- + 2r-3 dr - 3x-2 =0 Boundary condition: y=0 when x-1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 15E: Use Eulers method to approximate the indicated function value to 3 decimal places, using h=0.1....
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At least ans 1st 3 questions. Surely upvote. Don't give only 1 solution.  

1. Find particular solution of the following differential equation: dy 15 – + 2r 3x = 0 dr Boundary condition: y=0 when x=1 2. Using m-6 steps, estimate the value of the definite integral (2.x+x+1)dx r=1 (a) Using the Simpson's rule (b) Calculate the exact value of the integral by analytical means. 3. Find: (a) f"(x)wheref(x) = e4# – e-4z (b) fliv) (x)wheref (x) = 100 e-0.5z 1/µ (c) " ue-utdt 4. What is the doubling time for: (a) a population growing at 3.5% per annum; (b) a debt on which interest is charged at 36% p.a. 5. Maximize z = 2.x2+ 6xy + 100r subject to x+y=5. Use sufficient second-order condition to confirm the maximum.
Transcribed Image Text:1. Find particular solution of the following differential equation: dy 15 – + 2r 3x = 0 dr Boundary condition: y=0 when x=1 2. Using m-6 steps, estimate the value of the definite integral (2.x+x+1)dx r=1 (a) Using the Simpson's rule (b) Calculate the exact value of the integral by analytical means. 3. Find: (a) f"(x)wheref(x) = e4# – e-4z (b) fliv) (x)wheref (x) = 100 e-0.5z 1/µ (c) " ue-utdt 4. What is the doubling time for: (a) a population growing at 3.5% per annum; (b) a debt on which interest is charged at 36% p.a. 5. Maximize z = 2.x2+ 6xy + 100r subject to x+y=5. Use sufficient second-order condition to confirm the maximum.
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