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Consider the following statements. (i) The differential equation y′ + P(x) y  =  Q(x) has the...

Consider the following statements.

(i) The differential equation y′ + P(x) y  =  Q(x) has the form of a linear differential equation.

(ii) All solutions to y′  =  e^(sin(x^2 + y)) are increasing functions throughout their domain.

(iii) Solutions to the differential equation y′  =   f (y) may have different tangent slope for points on the curve where y  =  3, depending on the value of x

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