Is y=e2x +4x+3 a solution to the differential equation shown below?y′−2y=−8x−2

Q: If y (in 2)2, then O 2eln 2 0 O 2 In 2 1 (in 2)2 O eln 2

A: We have to find derivative of y .Question is given below:

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x.

Q: A company orders and uses 6,000 cans of paint each year. Each order has a fixed shipping cost of $15...

A: It is given that,The annual usage of paint cans is 6,000.The fixed shipping cost is $150.Additional ...

Q: How can I get the result? Which is the result?

A: The given functions are,

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: Obtain the value of the integral as follows.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The function is defined as 

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

Q: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

A: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

Q: How can I get the result? Which is the result?

A: In a graph, a function is said to be increasing if it is rising from left to right and is said to be...