Obtain the general solution for the following non - homogenous differential equation (use the wronskian method): y - y - 4y + 4y = 12 e - t evaluate the laplace transform of f(t) defined by: f(t) = solve the following initial value problem by using laplace transform: y + 0.2y + 4.01y = where: y(0) = 0 and y(0) = 2 solve the following differential equation: y + y = r(t) where: y(0) = 0 and y(0) = 0 when r(t) is a delayed impulse function given as: r(t) = 4 delta(t - 2 pi). when r(t) is a delayed step function given as: r(t) = u(t - 2 pi). show that the following ode is exact and solve it: cos (x + y) dx + {3y2 + 2y + cos (x + y)) dy = 0 solve the following ode. y' sin 2y + x cos 2y = 2x solve the following ode using integrating factor (x4 + y2) dx - xy dy = 0, y(2) = 1

step-by-step explanation:

where is the questions

y -5 = (-1/4)(x + 8)

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.