Obtain the differential equation of the following primitives and express the final answers in the form: а,(x)y(m) + аn-1(х)у(п-1)+... +а, (х)у' + a, (x)у - 9 (х) — x= c, cosot+ c, sin ot ; o a paramater = 0

Use the method of undetermined coefficients to determine the form of a particular solution for the given equation. y'"' + 10y" – 11y=xe* + 4x What is the form of the particular solution with undetermined coefficients? Yp(x) = ] (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

solve for indeterminate coefficients

In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y'. 6y²y + 30xy + 6x²y = 5y² + 25xyy' Select one: O a. y = O b. y = = O c. y' = O d.y= = y(y - 6x) 6x² − 5xy + 6y² y - 6x 6x² - 5x + 6y 5y(y – x) x² - 25xy + y² 5y(y - 6x) 6x² - 25xy + 6y²

Solve the IVP. (3 5) X' = (³3) 5 X with X(0) = -(-4).

Solve y" - 5y' + 6, using characteristic equation.

The functions plotted below are solutions to one of the following differential equations. Which one? Is a positive or negative? 4 -2 -4 -6 -8 1 2 3 4 6. 7 (а) у" + ay' + 4y 3D 3 — За (b) у" + аy' + 4у %3 Зе2» (c) y" + ay' + 4y = sin 27e (d) у" + аy' + 4yу 2л? + Зх — 4