y"+y=-1 , y(0)=0 , y(Pi/2)=0 please repeat the answer by details (by properties of green function...

y"+y=-1 , y(0)=0 , y(Pi/2)=0
please repeat the answer by details (by properties of green function only)

and the answer will be : sin(x)+cos(x)-1

Expert Solution

Colby Messinger answered 2 years ago

solve by details y"+y=-1 ,y(0)=0,y(Pi/2)=0 by properties of green function

y"+y=-1,y(0)=0,y(Pi/2)=0 I want to solve this equation by details (by properties of the green function only)

Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t)...

Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t) and t number as well) I need a professional expert to answer this question. (be able to follow the comment) (Show the step for what you need to get for drawing this solution as well)

Solve y"+y=u(t-pi/2)+3 delta(t-3 pi/2)-u(t-2 pi), by laplace transform methods with y(0)=y'(0)=0.

Solve the initial value problem below using the method of Laplace transforms. y''+7y'+12y=-7cost-9sint y(pi/2)=1 y'(pi/2)=0

(1 point) Find yy as a function of xx if y‴+9y′=0,y‴+9y′=0, y(0)=−2, y′(0)=24, y″(0)=−18.y(0)=−2, y′(0)=24, y″(0)=−18. y(x)= ?

Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2,...

Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2, f(1, 0) = 3, f(1, 1) = 5, f(2, 0) = 5, f(2, 1) = 10. Determine the Lagrange interpolation F(x, y) that interpolates the above data. Use Lagrangian bi-variate interpolation to solve this and also show the working steps.

Find y as a function of x if y′′′+25y′=0 y(0)=2, y′(0)=20, y′′(0)=−100 y(x)=

1) Find y as a function of t if 9y′′+24y′+32y=0, y(0)=5,y′(0)=8. y(t)= 2) Find y as...

1) Find y as a function of t if 9y′′+24y′+32y=0, y(0)=5,y′(0)=8. y(t)= 2) Find y as a function of x if y′′′+16y′=0, y(0)=−5, y′(0)=−32, y′′(0)=−32. y(x)= 3) Find y as a function of t if 9y′′−12y′+40y=0, y(1)=5,y′(1)=9. y=

Consider a function f(x) which satisfies the following properties: 1. f(x+y)=f(x) * f(y) 2. f(0) does...

Consider a function f(x) which satisfies the following properties: 1. f(x+y)=f(x) * f(y) 2. f(0) does not equal to 0 3. f'(0)=1 Then: a) Show that f(0)=1. (Hint: use the fact that 0+0=0) b) Show that f(x) does not equal to 0 for all x. (Hint: use y= -x with conditions (1) and (2) above.) c) Use the definition of the derivative to show that f'(x)=f(x) for all real numbers x d) let g(x) satisfy properties (1)-(3) above and let...

Question