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For this Question 2 can you please confirm that my answer is correct? If not, can you please correct the answer. Give the order of

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For this Question 2 can you please confirm that my answer is correct? If not, can you please correct the answer.

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Give the order of the differential equation below, where y represents a function of the variable x. -xay" - y- 3y' = 10 Choose the correct answer below. O A. The given equation is a second-order differential equation because it involves a second derivative but no higher derivative. O B. The given equation is a third-order differential equation because it involves a third derivative but no higher derivative. O C. The given equation is a first-order differential equation because it only involves a first derivative. O D. The given equation is a first-order differential equation because it involves a first derivative but no higher derivative.point(s) possible Question list K The amount of carbon-14 present in animal bones after t years is given by P(t) = Po e :0012 A bone has lost 16% of its carbon-14 How old is the bone? Question 1 The bone is about years old. (Round to the nearest integer as needed.) Question 2 Question 32 Question list dy Show that y = is a solution of the differential equation (2+ce dt Fy(1 - y) for any real number c. Find the particular solution that passes through (0, - 1) Question 1 2 dy How can it be shown that y Question 2 ( 2 + ce ) is a solution to the differential equation di y(1 - y)? A. Substitute =0 and y = - 1 into the differential equation and evaluate Question 3 B. Find the derivative of y and substitute. C. Integrate both sides with respect to y Question 4 D. Factor a y out of the right side of the differential equation. Perform the operation selected in the previous step Question 5 dy Substitute the appropriate expressions for - and y into the differential equation. dt Question 62 K ay Question list Show that y = ( 2 + ce - ! ) is a solution of the differential equation y(1 - y) for any real number c. Find the particular solution that passes through (0, - 1). Question 1 O Question 2 What process can be used to rewrite the right side of the equation so it is equal to the left side? Select all that apply. Question 3 A. Use the distributive property followed by subtraction to get one fraction. Simplify the fraction B. Integrate the right side with respect to t. Simplify the result. Question 4 C. Perform the subtraction in the rightmost term and then multiply to get one fraction. Simplify the fraction D. Perform the subtraction in the right most term followed by integrating the right side with respect to t. Question 5 E. Use the distributive property followed by integrating the right side with respect to t. Find the particular solution for y that passes through (0, - 1). Question 6Question list dy Graph the particular solution to dx = x + 1 that goes through (0, - 1) Question 1 Choose the correct graph. O Question 2 OA. OB Oc. y Question 3 Question 4 Question 5

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