Differential Eqs 4 - extra questions

# Differential Eqs 4 - extra questions -...

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205FOE102 Further Mathematics 1 Differential Equations 4 1. Find the solution of the differential equation y x dx dy sin 4 = given that ( 29 2 0 = y . 2. Find the general solution of the differential equation x e y dx dy 8 3 = - 3. Solve the boundary value problem x ye dx dy - = , ( 29 1 0 = y 4. Find the general solution of the differential equation ( 29 1 2 2 - = z t dt dz 5. Find the general solution of the differential equation y dx dy x xy = + 2 6. Solve the boundary value problem x e y dx dy 4 2 - = , ( 29 7 1 0 = y 7. Solve the differential equation x y dx dy 2 1 - = 8. Solve the differential equation 0 1 2 = + - xy dx dy x 9. Use a numerical method to approximate the solution at 5 . 0 = t of the initial value problem xt dt dx 2 1 - = , ( 29 2 0 = x Use a time step size of 0.1 and work throughout to 4 decimal places. 10. Solve 0 8 2 2 2 = - x dx y d 11. Find the general solution of the differential equation 0 8 6 2 2 = + + y dx dy dx y d 12. Solve the differential equation 0 18 11 2 2 = + - y dx dy dx y d

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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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Differential Eqs 4 - extra questions -...

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