Reviewer de f Exam
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Growth and Decay; 1. If a city has a population of 340 people, and if the population grows continuously at an annual rate of 2.3%, what will the population be in 6 years? Growth and Decay; 2. A certain radioactive isotope has a half-life of 37 years. How many years will it take for 100 grams to decay to 64 grams? Electric circuit; 3. A series RL circuit with R = 50 Ω and L = 10 H has a constant voltage V = 100 V applied at t = 0 by the closing of a switch. Find the current at t = 0.5 s. Newton’s Law of cooling; 4. If a thermometer is taken outdoors, where the temperature is 5 deg C, from a room in which the temperature is 20 deg C, and the reading drops 10 deg C in one minute, how long after its removal from the room will the reading be 6 deg C? Newton’s Law of cooling; 5. A thermometer reading 75 deg F is taken out where the temperature is 20 deg F. The reading is 30 deg F 4 minutes later. Find the thermometer reading 7 minutes after the thermometer was brought outside. Order; 6. What is the order of the given differential equation 6 ( d 3 y dx 3 ) 4 + ( d 2 y dx 2 ) 5 +y=e x ? Degree; 7. What is the degree of the given differential equation 6 ( d 3 y dx 3 ) 4 + ( d 2 y dx 2 ) 5 +y=e x ?
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Reviewer de f Exam
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Growth and Decay; 1. If a city has a population of 340 people, and if the population grows continuously at an annual rate of 2.3%, what will the population be in 6 years?
Growth and Decay; 2. A certain radioactive isotope has a half-life of 37 years. How many years will it take for 100 grams to decay to 64 grams?Electric circuit; 3. A series RL circuit withR= 50 andL= 10 H has a constant voltageV= 100 V applied att= 0 by the closing of a switch. Find the current att= 0.5 s.Newtons Law of cooling; 4. If a thermometer is taken outdoors, where the temperature is 5 deg C, from a room in which the temperature is 20 deg C, and the reading drops 10 deg C in one minute, how long after its removal from the room will the reading be 6 deg C?Newtons Law of cooling; 5. A thermometer reading 75 deg F is taken out where the temperature is 20 deg F. The reading is 30 deg F 4 minutes later. Find the thermometer reading 7 minutes after the thermometer was brought outside.Order; 6. What is the order of the given differential equation ?
Degree; 7. What is the degree of the given differential equation ?Order; 8. What is the order of the differential equation Particular Solution; 9. Consider a general solution, and the boundary conditions , . Determine the particular solution.Variable Separable; 10. Determine the solution of ; Homogeneous D.E.; 11. Find the solution of the d.e. Homogeneous D.E.; 12. The differential equation is homogeneous of what degree?Exact; 13. Determine the solution of .By inspection; 14. What is the solution for the D.E. .FOLDE; 15. Find the complete solution of . Bernoulli Equation; 16. Find the solution of: Special Second Ordered D.E.; 17. Find the complete solution of . Homogeneous Second Order Linear D.E. 18. Find the solution: Euler-Cauchy Equation19. Solve the equation: Linearity; 20. Which of the following is an example of linear D.E.?a. b. c. d.
