(1 point) Consider the first order differential equation + y + +2 t For each of the initial conditions below, determine the largest interval a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. a. y(-7) = -0.5. help (inequalities) b. y( -1.5) = 1.7. help (inequalities) c. y(0) = 0. help (inequalities) d. y(5.5) = 2.6. help (inequalities) e. y(8) = 1.7. help (inequalities)
(1 point) Consider the first order differential equation
+
y
+
+2
t
For each of the initial conditions below, determine the largest interval a < t < b on which the existence and
uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution.
a. y(-7) = -0.5.
help (inequalities)
b. y( -1.5) = 1.7.
help (inequalities)
c. y(0) = 0.
help (inequalities)
d. y(5.5) = 2.6.
help (inequalities)
e. y(8) = 1.7.
help (inequalities)
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