Find y as a function of x if y''''−4y'''+4y''=−128e^{-2x} y(0)=2, y′(0)=9, y″(0)=−4, y‴(0)=16. y(x)=?

Find y as a function of x if

y''''−4y'''+4y''=−128e^{-2x}

y(0)=2, y′(0)=9, y″(0)=−4, y‴(0)=16.
y(x)=?

Expert Solution

Colby Messinger answered 2 years ago

Find y as a function of x if y(4)−12y‴+36y″=−512e-2x y(0)=−1, y′(0)=10, y″(0)=28, y‴(0)=16 y(x)=

Find the green's function then find the solution y"+4y=x y(0)=0, y'(1)=0

Consider the function f(x, y) = 4xy − 2x 4 − y 2 . (a) Find...

Consider the function f(x, y) = 4xy − 2x 4 − y 2 . (a) Find the critical points of f. (b) Use the second partials test to classify the critical points. (c) Show that f does not have a global minimum.

Find the green's function and fine the solution y"+4y=x y(0)=0, y'(1)=0

Find y as a function of x if y′′′−11y′′+30y′=0 y(0)=7, y′(0)=9, y′′(0)=4.

Find a particular solution to y′′+4y′+4y=(e^−2x)/x^4 using variation of parameters yp= ?

The function f(x, y) = 10−x 2−4y 2+2x has one critical point. Find that critical point...

The function f(x, y) = 10−x 2−4y 2+2x has one critical point. Find that critical point and show that it is not a saddle point. Indicate whether this critical point is a maximum or a minimum, and find that maximum or minimum value.

Find y as a function of x if y^(4)−6y′′′+9y′′=0, y(0)=7, y′(0)=11, y′′(0)=9, y′′′(0)=0.

Find x/y given 2x + y = 35 and 3x + 4y = 65?

Find \( \frac{x}{y} \) given 2x + y = 35 and 3x + 4y = 65?

Solve the given initial-value problem. y'' + 4y' + 4y = (5 + x)e^(−2x) y(0) =...

Solve the given initial-value problem. y'' + 4y' + 4y = (5 + x)e^(−2x) y(0) = 3, y'(0) = 6 Arrived at answer y(x)=3e^{-2x}+12xe^{-2x}+(15/2}x^2e^{-2x}+(5/6)x^3e^{-2x) by using variation of parameters but it was incorrect.

Question