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Question: 1 the equation y defines a oneparameter family of curves...

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1. The equation y +defines a one-parameter family of curves. The parameter k assumes all real values. a) Derive the DE that is satisfied by the family of curves. State whether the DE is separable, linear or neither. Be careful: as a check, if you find the general solution to your DE, you should arrive at exactly the same equation for y. b) Use information deduced from the DE and from the given equation to give a qualitative sketch of each family.

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