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Question: for question 1 step by step how do you draw...

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PROBLEMS In each of Problems 1 through 12: (a) Draw a direction field for the given differential equation. behavior to another occurs. Estim (b) Based on an inspection of the direction field, describe (b) Solve the initial value probler how solutions behave for large t. (c) Find the general solution of the given differential equa- (c) Describe the behavior of the tion, and use it to determine how solutions behave as t-0o. the initial value a do be the value of a for which the do exactly. 21.Y-3y = 3 cos t, 22, 2/-v=et/3, y(0) y(0)= a 3. y +y te+ 1 4. y (1/t)y 5 cos 2t, 0 In each of Problems 24 through (a) Draw a direction field for the How do solutions appear to beha ior depend on the choice of the i value of a for which the transitic to another occurs. Estimate the (b) Solve the initial value proble 6. ty 2ysint, 0

for question 1, step by step how do you draw the direction field?

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