3. Find the PARTICULAR solution only to the DE: x" +2x +2x= e'sin(t)
Find the general solution of the DE:
y’’(x) + 6y’(x) + 8y(x) = 3e^(-2x) + 2x
9. Find the local extrema and increasing and decreasing intervals for the function whose deriva- tive is given below. (Note: This is the first derivative that is given. You do not need to find the derivative!) f'(x) = ? (7 - 50) √9 – 2²
5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients: y" + 2y' + 5y = 3 sin 2x.
5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients: y" + 2y' + 5y = 3 sin 2x.
In Exercises 71-74, find a function z = f(x,y) whose partial deriva- tives are as given, or explain why this is impossible. af af af 2y ar (x + y)2, 2r 73. (x + y)2
In Exercises 71-74, find a function z = f(x,y) whose partial deriva- tives are as given, or explain why this is impossible. af af af 2y ar (x + y)2, 2r 73. (x + y)2
find y=2x^6 - 10x^3 + 2x, find d^5 y/ dx^5 d^5 y/ dx^5=
In Problems 5-6, determine an Integrating Factor for the given DE. 5. [2x + (x2 + y2) cot x]dx + 2ydy = 0. 6. + (+ 1)dy = 0. 7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. y = x2 + y², y(1) = 2, h = 0.2; y(1.4)~?
In Problems 5-6, determine an Integrating Factor for the given DE. 5. [2x + ( 22 + y2) cotx]dx + 2ydy = 0. 6. z'yd.x + y(x + 1)dy = 0. 7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. y = 22 + y2, y(1) = 2, h=0.2; y(1.4)~?
5) Apply the L'Hospital's Rule to find each limit: 2x – 1 – 2x - 2x² a) lim,70- b)lim. Va Inx