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Unformatted text preview: into a first order separable variable equation, make the substitution dr dT r T = and rewrite the equation in terms of T and r only. Solve it and using appropriate initial values, obtain a first order differential equation in T and r. Solve this equation for T(r) . 3. Solve the following equation for current i(t) in an electrical circuit with inductance L and resistance R. ) ( t v Ri dt di L = + The electromotive force is given by v(t)=V sin t and it is also known that at t=0, i=i . L,R and V are constants. 4. Show that the following equation is exact and solve it. dy xye x x dx e y y x x y xy xy ) 4 sin ( ) 2 cos sin 2 ( 2 2 2 2--= +-5. Practice Problems (do not submit for grading) Exercises 2.2: Problems 7,17,19,22,26,30 Exercises 2.3: Problems 2,6,12,22,28,30 Exercises 2.4: Problems 3,12,16,17,21...
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This note was uploaded on 07/25/2008 for the course ME 391 taught by Professor Blazer-adams during the Fall '08 term at Michigan State University.
- Fall '08
- Mechanical Engineering