2 First-Order Differential Equations Exercises 2.1 1. y 2. y y x t x t 3. y 4. y y x x t 5. y 6. y x x 7. y 8. y x x 17 Exercises 2.1 9. y 10. y x x 11. y 12. y x x 13. y 14. y x x 15. Writing the differential equation in the form dy/dx = y(1 − y)(1 + y) we see that critical points are located at y = −1‚ y = 0‚ and y = 1. The phase portrait is shown below. -1
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said "Effective learning in the classroom depends on the teacher’s ability to maintain the interest that brought students to the course in the first place"‚ Unfortunately‚ there is no single magical formula for motivating students. Many factors affect a student’s motivation to work and to learn‚ this may include: the students interest in a certain subject‚ perception of its usefulness‚ general desire to achieve‚ self-confidence and self-esteem‚ as well as patience and persistence. Nevertheless
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Compare and Contrast; Anomie Strain and Differential Opportunity Theories Introduction- This paper will cover Anomie Strain‚ and Differential Opportunity theory. This will be done by an overview and explanations of the two theories‚ and by comparing and contrasting the theories based on the explanations Robert Merton‚ Richard Cloward‚ and Lloyd Ohlin proposes. To begin‚ the question that inspired Robert Merton‚ Richard Cloward and Lloyd Ohlin was to explore what was the cause and explanation of why
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the group of kids in every high school that do drugs regularly and basically do nothing for the rest of the day. Craig is small and gangly with dark short hair. He’s nerd-like and he seems to be the kind of person who is shy around people who aren’t his friends and family. He’s a little sarcastic and seems to be in the shadow of his friend Aaron. So far‚ the conflict is that Craig is depressed. He won’t sleep‚ when he eats‚ he pukes‚ and when he tries to do his homework‚ and he gets too caught up in
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Prompt: Analyze changes and continuities in long-distance migrations in the period from 1700 to 1900. Be sure to include specific examples from at least TWO different world regions. The first migrations to the Americans were by cattle. The North had more slaves than the South. The South had a successful slave revolt. Trains in Russia caused the serfs to run faster. Teepees were mobile homes for Indians. Bantus migrated to California for the movie industry. Main technology that remained the
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an rn +· · ·+a1 r+a0 = 0. From the roots r1 ‚ . . . ‚ rn of the polynomial we can construct the solutions y1 ‚ . . . ‚ yn ‚ such as y1 = er1 x . We can also rewrite the equation in a weird-looking but useful way‚ using the symbol d D = dx . Examples: equation: y − 5y + 6y = 0. polynomial: r2 − 5r + 6 = 0. (factored): (r − 2)(r − 3) = 0. roots: 2‚ 3 weird-looking form of equation: (D − 2)(D − 3)y = 0 or (D2 − 5D + 6)y = 0. linearly independent solutions: y1 = e2x ‚ y2 = e3x . general solution:
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certain individuals become criminals? Differential association theory is a theory in criminology which aims to answer this question. This theory was developed by Edwin H. Sutherland‚ who was a sociologist and a professor. He created the theory to explain the reasons why people commit crime. The theory is based upon the idea that criminals commit crimes based upon their association with other people. Basically‚ criminal behavior is learned by associating with other criminal individuals. In addition
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Differential Association and Social Bonding Theory Introduction The purpose of the following study is determine what‚ if any‚ the components of social bonding theory and differential association play on the lives of college students. This study is composed of three hypotheses: A) If the amount of commitment to the college goes up will deviance go down?; B) If involvement with the college is increased then does deviance go down?; and C) If a student associates‚ or attaches‚ themselves to deviant
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Changes and continuities in commerce in the Indian ocean region from 650 to 1750 C.E. In the period between 650 C.E. and 1750 C.E.‚ the Indian Ocean region endured both change and continuity. One continuity is simply trade‚ for this 1‚100 years the Indian ocean was an important trading zone. One change in Indian ocean trade over those years was which country dominated trade their. Over those years the Indian ocean was controlled by the Indians‚ the Arabs‚ the Chinese‚ and last but not least the
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Factors Affecting Euro Currency over time There are many key factors which can affect the value of the Euro currency over time. Germany’s economy seems to also be a major player in relation to the Euro currency. One of the factors differentials in inflation‚ can affect the currency as countries with lower inflation rates would have increases in the value of their currency while countries with higher inflation rates would experience depreciation in their currency. Therefore if there is lower inflation in
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