Question

In: Advanced Math

Find y as a function of t if 100y′′−9y=0100y″−9y=0 with y(0)=3,y′(0)=8.

Find y as a function of t if 100y′′−9y=0100y″−9y=0 with y(0)=3,y′(0)=8.

Solutions

Expert Solution

find roots first

for 2 real roots, general solution is

.................(1)

.

here y(0)=3

.

put it back in equation 1

take derivative

here y('0)=8

.

.

.

put both constant in equation 1

Colby Messinger answered 2 years ago
Next > < Previous

Related Solutions

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=
(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)= ?
(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)= ?
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 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 the exact solution : y''+9y'=cosπt, y(0)=0,y'(0）=1
Find the exact solution : y''+9y'=cosπt, y(0)=0,y'(0）=1
Find the exact solution : y''+9y'=cosπt, y(0)=0,y'(0）=1
Find the exact solution : y''+9y'=cosπt, y(0)=0,y'(0）=1
Find ? as a function of ? if 81?″−90?′+29?=0, ?(3)=8,?′(3)=1 y=?
Find ? as a function of ? if 81?″−90?′+29?=0, ?(3)=8,?′(3)=1 y=?
if y(t) is the solution of y′′+2y′+y=δ(t−3),y(0)=0,y′(0)=0 the find y(4)
if y(t) is the solution of y′′+2y′+y=δ(t−3),y(0)=0,y′(0)=0 the find y(4)
Use Laplace Transforms to solve the following IVPs . y′′+9y={2−t ,0} piecewise function 0≤t<2 , t≥2...
Use Laplace Transforms to solve the following IVPs . y′′+9y={2−t ,0} piecewise function 0≤t<2 , t≥2 ;y(0)=1 ,y′(0)=0
solve this IVP 9y'' +33.33y' +464.21y=8sin(t/4), y(0)=0, y'(0)=.04
solve this IVP 9y'' +33.33y' +464.21y=8sin(t/4), y(0)=0, y'(0)=.04
find the general solution of the given differential equation. 1. y''+2y'−3y=0 2.  6y''−y'−y=0 3.  y''+5y' =0 4.  y''−9y'+9y=0
find the general solution of the given differential equation. 1. y''+2y'−3y=0 2.  6y''−y'−y=0 3.  y''+5y' =0 4.  y''−9y'+9y=0
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT