Differential Eqs 3

# Differential Eqs 3 - Solve the differential equation 8 6 2...

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205FOE102 Further Mathematics 1 Differential Equations 3 Euler’s Method 1. Use Euler’s method, with step size, h = 0.1, to approximate the solution at t = 0.3 for the initial value problem 2 t x dt dx - = , ( 29 1 0 = x 2. Approximate the solution of the following initial value problem using Euler’s method with step size, h = 0.25. t x dt dx - = 2 , ( 29 2 1 = x , 2 1 t Find the exact solution to the problem using an appropriate method. Second Order Differential Equations 3. Find the general solutions of the following differential equations. (a) 0 4 2 2 2 = + - y dx dy dx y d (b) 0 2 2 2 = + - y dx dy dx y d (c) 0 3 3 2 2 = + + y dx dy dx y d (d) 0 3 2 2 2 = - - y dx dy dx y d 4. (a)
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Unformatted text preview: Solve the differential equation 8 6 2 2 = +-y dx dy dx y d given that 3 = y and 10 = dx dy when = x . (b) Find the solution of the differential equation 9 6 2 2 = + + y dx dy dx y d given that 1-= y and 5 = dx dy when = x . 5. Find the general solutions of the following differential equations. (a) x e y dx dy dx y d 4 9 4 2 2 = + + (b) x y dx dy dx y d 2 cos 5 3 2 2 2 =-+ (c) 2 2 2 4 1 2 2 x y dx dy dx y d-= +-(d) x y dx dy dx y d 2 sin 4 4 4 2 2 = + + (e) x e y dx dy dx y d 2 2 2 10 3 2-=--...
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## This note was uploaded on 04/25/2010 for the course MATH 201 taught by Professor Any during the Spring '10 term at Westminster UT.

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