Question

Find the particular integral of the differential equation d2y/dx2 + 3dy/dx + 2y = e −2x...

Find the particular integral of the differential equation

d2y/dx2 + 3dy/dx + 2y = e −2x (x + 1). show that the answer is yp(x) = −e −2x ( 1/2 x2 + 2x + 2)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

-2e^-2x appears in complementary solution since roots of

Characteristic equation are -1,-2

-2e^-2x appears in complementary solution for c=-2

So it is not appears again in yp

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the i)particular integral of the following differential equation d2y/dx2+y=(x+1)sinx ii)the complete solution of d3y /dx3-...
Find the i)particular integral of the following differential equation d2y/dx2+y=(x+1)sinx ii)the complete solution of d3y /dx3- 6d2y/dx2 +12 dy/dx-8 y=e2x (x+1)
Find the particular integral of the following differential equations.(Explain each step clearly) (a) d2y/dx2 + y...
Find the particular integral of the following differential equations.(Explain each step clearly) (a) d2y/dx2 + y = (x + 1) sin x. (Hint:In this case, we substitute sin αx or cos αx with eiαx then use the shift operator. In the case of sin αx we extract the imaginary part.)
Find the particular integral of the following differential equations.(Explain each step clearly) (a) d2y/dx2 + y...
Find the particular integral of the following differential equations.(Explain each step clearly) (a) d2y/dx2 + y = (x + 1) sin x. (Hint:In this case, we substitute sin αx or cos αx with eiαx then use the shift operator. In the case of sin αx we extract the imaginary part.)
Solve the special type second order differential equation:                             x2*d2y/dx^2+x(dy/dx)=1
Solve the special type second order differential equation:                             x2*d2y/dx^2+x(dy/dx)=1
Find the differential Equation of xy'-2y+(2x^3)e^-x=0
Find the differential Equation of xy'-2y+(2x^3)e^-x=0
Consider the differential equation dy/dx= 2y(x+1) a) sketch a slope field b) Show that any point...
Consider the differential equation dy/dx= 2y(x+1) a) sketch a slope field b) Show that any point with initial condition x = –1 in the 2nd quadrant creates a relative minimum for its particular solution. c)Find the particular solution y=f(x)) to the given differential equation with initial condition f(0) = 2 d)For the solution in part c), find lim x aproaches 0 f(x)-2/tan(x^2+2x)
Find dy/dx and d2y/dx2 for the given parametric curve. For which values of t is the...
Find dy/dx and d2y/dx2 for the given parametric curve. For which values of t is the curve concave upward? x = t3 + 1, y = t2 − t
Given ?=?^(−?) and ?=??^(6?) find the following derivatives as functions of ?. dy/dx= d2y/dx2=
Given ?=?^(−?) and ?=??^(6?) find the following derivatives as functions of ?. dy/dx= d2y/dx2=
B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a...
B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a solution satisfying the given initial conditions. y''-2y'-3y=6 y(0)=3 y'(0) = 11 yc= C1e-x+C2e3x yp = -2 C. a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions y'''+2y''-y'-2y=0, y(0) =1, y'(0) = 2, y''(0) = 0 y1=ex, y2=e-x,, y3= e-2x
Find dy/dx and d2y/dx2. x = t2 + 6,    y = t2 + 7t For which values...
Find dy/dx and d2y/dx2. x = t2 + 6,    y = t2 + 7t For which values of t is the curve concave upward? (Enter your answer using interval notation.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT