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7.(4 pts) State the largest open interval for which the solution of the given initial value problem is guaranteed to exist. Explain briefly. V X

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7.(4 pts) State the largest open interval for which the solution of the given initial value problem is guaranteed to exist. Explain briefly. V X 1 + x + 3y = tanx , y(1 ) = 1 , y (1) = 2 y" + xy' t x ? y = ex, y ( - 2) = 1, y'(-2) = 3

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