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Unformatted text preview: du/dt + 3 u = e 2 t + 3 t where u = u(t). 4. Let dy/dx = 2x (y 2 +4). a) (5%) Is this equation linear? Why? b) (5%) Can it be solved by separation of variables? If no, Why? If yes, solve it. (hint: ∫ 1/(y 2 + a 2 )dy = 1/a arctan (y/a) + c). 3 5. a) (7%) A spring extends 9.8 cm when a 5 kg weight is applied to it. Find the spring constant. (SI unit system must be used. Gravity constant is g=9.8 m/s 2 ). b) (8%) Assuming no damping and no forcing, write down the complete model (initial value problem) for the spring-mass system given above. 5 kg is the mass. c) Let the initial conditions to be y(0)=0.1, y ′ (0)=0, solve the model....
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- Spring '08
- Mass, International System of Units, Kilogram, 7%