Question: Please explain the steps clearly and explain in detail. Consider the initial value problem sin(x(t)) . r'(t) = t, x(0) = (a) Solve the initial

Please explain the steps clearly and explain in detail.

Consider the initial value problem sin(x(t)) . r'(t) = t, x(0) = (a) Solve the initial value problem. (b) Give the maximal domain and range of the solution (i.e. intervals of t and r on which the solution is defined)

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