can you find a linear homogeneous constant-coefficient DE and such that x.e^(-2x).sinx is a solution. Write...

can you find a linear homogeneous constant-coefficient DE and such that x.e^(-2x).sinx is a solution.

Write the answer in a.y''' + by'' +cy'+dy=0

Expert Solution

here differential equation is of 4th order not 3 order... the process of finding this is the replacing of each variable term by previous term....please comment if you face any problem

milcah answered 2 years ago

Find a constant coefficient linear second-order differential equation whose general solution is: (c1 + c2(x))e^(-2x) +...

Find a constant coefficient linear second-order differential equation whose general solution is: (c1 + c2(x))e^(-2x) + 1

solve non-homogeneous de y" + y = sec^2x by finding- the solution yh(x) to the equivalent...

solve non-homogeneous de y" + y = sec^2x by finding- the solution yh(x) to the equivalent homogeneous de the particular solution yp(x) using variation of parametrs the general solution y(x) = yh(x) + yp(x) of the de please explain the steps

I. Solve the homogeneous differential equations with the constant coefficient. a. ? ′′ + 5? ′...

I. Solve the homogeneous differential equations with the constant coefficient. a. ? ′′ + 5? ′ + 6? = 0 b. 4? ′′ − 8? ′ + 3? = 0 ? (0) = 2, ? ′ (0) = ½ II. Solve non-homogeneous differential equations with the indeterminate coefficient method. a. ?′′ − 3? ′ = 5cos(?) b. ? ′ ′ + 5? ′ + 2? ′ = 7? 3? III. Solve non-homogeneous differential equations with the parameter variation method. a....

{sinx, 2cosx, 3sinx+cosx} find the wronskian solution.

Find the complete optimal solution to this linear programming problem. Max 5x + 3y s.t. 2x...

Find the complete optimal solution to this linear programming problem. Max 5x + 3y s.t. 2x + 3y <=30 2x + 5y <= 40 6x - 5y <= 0 x , y >= 0 I AM USING EXCEL FOR THIS QUESTION PLEASE SHOW ALL WORK AND FORMULAS, THANK YOU

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one....

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one. b) In the method of variation of parameters, find v1, where v1e2x + v2y2 + v3y3 = yp is a particular solution to the inhomogeneous equation. Use the method of variation of parameters Please explain and show work, thanks!

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation. y''+2y'+5y=3sin(2t)

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation. y''+4y=3csc2t

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation. y''+2y'+y=2e^t

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.

Question

can you find a linear homogeneous constant-coefficient DE and such that x.e^(-2x).sinx is a solution. Write...

Solutions

Expert Solution

Related Solutions

Find a constant coefficient linear second-order differential equation whose general solution is: (c1 + c2(x))e^(-2x) +...

solve non-homogeneous de y" + y = sec^2x by finding- the solution yh(x) to the equivalent...

I. Solve the homogeneous differential equations with the constant coefficient. a. ? ′′ + 5? ′...

{sinx, 2cosx, 3sinx+cosx} find the wronskian solution.

Find the complete optimal solution to this linear programming problem. Max 5x + 3y s.t. 2x...

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one....

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.

Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.