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Solve the initial value problem: y' = x3 + y³ 3 , y(1) = 2 xy² y(x) = Hint: Notice that the equation on the right is homogeneous and see Homework exercise 23 in section 1.2 of our textbook to review techniques for solving homogeneous equations. Note that we've been given an intial value of the form y(a) = b where a > 0, so this only determines a solution corresponding to the right half of the graph of In(x), i.e., the part of the graph corresponding to positive values of x. Therefore, we should write In(x) instead of ln(|x|), since the left half of the graph is not determined by the initial condition given.

Can you please explain how to go about completing this table in simplest terms please.  Thank you fx f(-1/3x) (2,4)   (-3,6)

A population growing with harvesting will behave according to the differential equation dy dt = 0.06y(1- У с 1800 y(0) = yo Find the value for c for which there will be only one equilibrium solution to the differential equation C = If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.

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f(x) 1/3 f(2(x-2))+4 (2,4)   (-3,6)   Please explain in step by step simple terms how to answer this question

Please help step by step simple terms how to answer this question   Given the parent function f(x)=1/x, determine the equation of the new function after the following transformations reflection over x and y axis vertical stretch by a factor of 6 horizontal compression by a factor of 1/3 translated 4 spaces left , 9 spaces up Clearly state the domain and range

Given f(x) = 6x - 7, determine f-1(10)   Please explain step by step how to answer this question in simple terms

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