Query 05 Differential Equations

Question:  3.2.6.  Solve y ' + e^y t = e^y sin(t) with initial condition y(0) = 0.

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Question:  3.2.10.  Solve 3 y^2 y ' + 2 t = 1 with initial condition y(0) = -1.

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Question:  3.2.18.  State a problem whose implicit solution is given by y^3 + t^2 + sin(y) = 4, including a specific initial condition at t = 2.

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Question:  3.2.24.  Solve the equation y ' = (y^2 + 2 y + 1) sin(t) and determine the t interval over which the solution exists.

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Question:  3.2.28.  Match the graphs of the solution curves with the equations y ' = - y^2,  y ' = y^3 and y ' = y ( 4 - y).

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