Find a particular solution y'''-y''-4y'+8y=6xe^2x

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

Q: 2x'+4x-6-0

A:

Q: for

A:

Q: solve y′′′′+ 3y′′−4y = t^2

A: Given differential equation is yIV+3y''−4y=t2. We have to find the solution of the given…

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: x' - 5x = 6x ,2

A: x3-5x2=6x. To solve for x by factoring, first we will factorise this cubic polynomial.

Q: y' = 3x2 - 12x - 79

A: Consider the provided derivative, y'=3x2-12x-79 Find the expression of yx. We can write as,…

Q: Find the general solution: 8x^3 y''' + 10x^2 y'' + xy' + y = 5

A: According to the given information it is required to find the general solution of the given…

Q: solve y′′+2y′+y=5t^2 using the Method of Undetermined Coefficients

A:

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

A:

Q: simply the expression (4r^18s^−1/2)^1/2(32s^−5/4)^−1/5

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.