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DEPARTMENT OF MATHEMATICSNORTH CAROLINA STATE UNIVERSITYMATH 341TEST 1Spring 2009NAME:ROW and SEAT:On all problems, you must show your work to receive credit. Calculators maybe used only to do arithmetic and evaluate the numerical value of expres-sions (for example, e2or sin (.7)). They may not be used for differentiation,integration, algebra, solving differential equations, graphing, etc.1. (8 points) Use the differential equationt2d(a) What is the order of the differential equation?(b) Is the differential equation linear?(c) What is the dependent variable?(d) What is the independent variable?2. Consider the differential equation (3x2y+5x4-ey)dx+(x3-xey)dy= 0.(a) (5 points) Show the differential equation is exact.(b) (15 points) Solve the initial value problem(3x2y+ 5x4-ey)dx+ (x3-xey)dy= 0;y(1) = 03. (18 points) Find a solution to the differential equation 32xdt2-(t2+t+1)dxdt= (t+1)xto answer the following questions.
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Chapter 9 / Exercise 4
Applied Calculus for the Managerial, Life, and Social Sciences
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Trigraph, Boundary value problem, Gallon
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The document you are viewing contains questions related to this textbook.
Applied Calculus for the Managerial, Life, and Social Sciences
The document you are viewing contains questions related to this textbook.
Chapter 9 / Exercise 4
Applied Calculus for the Managerial, Life, and Social Sciences
Tan
Expert Verified

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