DIFFERENTIAL EQUATIONS EXAM QUESTIONS WIT ALL CORRECT ANSWERS 2 Exam (elaborations) DIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH ALL CORRECT ANSWERS 3 Exam (elaborations) DIFFERENTIAL EQUATIONS EXAM TEST BANK QUESTIONS WITH CORRECT DETAILED ANSWERS 4 Exam (elaborations) DIFFERENTIAL EQUATIONS STUD...
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DIFFERENTIAL EQUATIONS EXAM QUESTIONS WIT ALL CORRECT ANSWERS Two questions arise when approaching a DE - Answer-Does it have a solution and is it unique? In the logistic model for population growth dP/dt=P(8-2P), the carrying capacity of the population is - Answer-k=a/b so in this case, 4 W...
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Add to cartDIFFERENTIAL EQUATIONS EXAM QUESTIONS WIT ALL CORRECT ANSWERS Two questions arise when approaching a DE - Answer-Does it have a solution and is it unique? In the logistic model for population growth dP/dt=P(8-2P), the carrying capacity of the population is - Answer-k=a/b so in this case, 4 W...
DIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH ALL CORRECT ANSWERS What is a phase line? - Answer-A simplified slope field for autonomous equations. In an autonomous equation, what does the slope look like? Why? - Answer-The slope field is constant along horizontal lines, because it doesn't depend...
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Add to cartDIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH ALL CORRECT ANSWERS What is a phase line? - Answer-A simplified slope field for autonomous equations. In an autonomous equation, what does the slope look like? Why? - Answer-The slope field is constant along horizontal lines, because it doesn't depend...
DIFFERENTIAL EQUATIONS EXAM TEST BANK QUESTIONS WITH CORRECT DETAILED ANSWERS (y^2 + yx)dx - (x^2)dy = 0 - Answer-homogeneous 1/2x^2 + x/y = c (x+y)dx + (x)dy = 0 - Answer-homogeneous c = 1/2x^2 + 1/2ln(2(y/x)+1) (y^2 + yx)dx + (x^2)dy = 0 - Answer-homogeneous c = ln(x) + 1/2ln(y/x) - ln((y/x)+2...
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Add to cartDIFFERENTIAL EQUATIONS EXAM TEST BANK QUESTIONS WITH CORRECT DETAILED ANSWERS (y^2 + yx)dx - (x^2)dy = 0 - Answer-homogeneous 1/2x^2 + x/y = c (x+y)dx + (x)dy = 0 - Answer-homogeneous c = 1/2x^2 + 1/2ln(2(y/x)+1) (y^2 + yx)dx + (x^2)dy = 0 - Answer-homogeneous c = ln(x) + 1/2ln(y/x) - ln((y/x)+2...
DIFFERENTIAL EQUATIONS STUDY QUESTIONS WITH COMPLETE SOLUTIONS GRADED A+ What is the existence and uniqueness thm for non linear DEs? - Answer-Let f(t,y) and partial[f(t,y)]/partial y be continuous on some rectangular region a < t < b, c < y < d. Let (t0, y0) be a point in the rectangu...
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Add to cartDIFFERENTIAL EQUATIONS STUDY QUESTIONS WITH COMPLETE SOLUTIONS GRADED A+ What is the existence and uniqueness thm for non linear DEs? - Answer-Let f(t,y) and partial[f(t,y)]/partial y be continuous on some rectangular region a < t < b, c < y < d. Let (t0, y0) be a point in the rectangu...
DIFFERENTIAL EQUATIONS 2024 TEST QUESTIONS WITH CORRECT DETAILED ANSWERS UPDATED Polynomial - Answer-Comes from poly- (meaning "many") and -nomial (in this case meaning "terms"...so it says "many terms" What can have constants, variables, and exponents but never division by ...
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Add to cartDIFFERENTIAL EQUATIONS 2024 TEST QUESTIONS WITH CORRECT DETAILED ANSWERS UPDATED Polynomial - Answer-Comes from poly- (meaning "many") and -nomial (in this case meaning "terms"...so it says "many terms" What can have constants, variables, and exponents but never division by ...
PARTIAL DIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH 100% CORRECT ANSWERS (VERIFIED ANSWERS) What is the derivative of a Fourier series f(x) ? When does this hold?(2) - Answer-f'(x) = ∑[(-n.π.a_n/L)*sin(nπx/L) + (n.π.b_n/L)*cos(nπx/L)] This only holds when: (1) f(x) is continuous everywhe...
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Add to cartPARTIAL DIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH 100% CORRECT ANSWERS (VERIFIED ANSWERS) What is the derivative of a Fourier series f(x) ? When does this hold?(2) - Answer-f'(x) = ∑[(-n.π.a_n/L)*sin(nπx/L) + (n.π.b_n/L)*cos(nπx/L)] This only holds when: (1) f(x) is continuous everywhe...
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DIFFERENTIAL EQUATIONS 2024 TEST BANK QUESTIONS WITH ANSWERS GRADED A+ Linearisation Theorem - Answer-Suppose y_0 is an equilibrium point of an autonomous differential equation where f(y) is continuously differentiable, then if f'(y_0)<0 then y_0 is a sink and if f'(y_0)>0 then y_0 is ...
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Add to cartDIFFERENTIAL EQUATIONS 2024 TEST BANK QUESTIONS WITH ANSWERS GRADED A+ Linearisation Theorem - Answer-Suppose y_0 is an equilibrium point of an autonomous differential equation where f(y) is continuously differentiable, then if f'(y_0)<0 then y_0 is a sink and if f'(y_0)>0 then y_0 is ...
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