Given that yy(t) = cost is a solution to y" – y'+y=sint and yz(t) = 3...

Question

Question

Given that yy(t) = cost is a solution to y – y+y=sint and yz(t) = 3 is a solution to y – y+y= 221, use the superposition

Answer 1

Answer #1

it in a sol at y (1= cost in solution of Y-yity = fint Z(ti= 12 elt of ylylty- -: By Superposition principle solution y_yt

Answer 2

Similar Homework Help Questions

3. Given that yı(t) = t, y(t) = t, and yz(t) = are solutions to the...

3. Given that yı(t) = t, y(t) = t, and yz(t) = are solutions to the homogeneous differential equation corresponding to ty" + t'y" – 2ty' + 2y = 2*, t > 0, use variation of parameters to find its general solution.
Given that y1 = 3 cos t is a solution to y" - y'+y = 7...

Given that y1 = 3 cos t is a solution to y" - y'+y = 7 sint, and ya=6 e27 is a solution to y" - y'+y = 7 e2t Use the super position principle to find a solution to y" - y' + y = 8 sin t + 4e2t.
9. Superposition Principle: Let L[yl=y" + y + xy, yı(x)=sinx ^yz(x)=x.If L[y] x = xsinx and...

9. Superposition Principle: Let L[yl=y" + y + xy, yı(x)=sinx ^yz(x)=x.If L[y] x = xsinx and L(y2 x)=x²+1 then use the superposition principle to find a solution to the differential equation: L[y]=4x²+4-6 xsinx

Find the solution y of the initial value problem 3"(t) = 2 (3(t). y(1) = 0,...

Find the solution y of the initial value problem 3"(t) = 2 (3(t). y(1) = 0, y' (1) = 1. +3 g(t) = M Solve the initial value problem g(t) g” (t) + 50g (+)? = 0, y(0) = 1, y'(0) = 7. g(t) = Σ Use the reduction order method to find a second solution ya to the differential equation ty" + 12ty' +28 y = 0. knowing that the function yı(t) = + 4 is solution to that...
3. Consider the differential equation ty" - (t+1)yy = te2, t> 0. ert is a solution...

3. Consider the differential equation ty" - (t+1)yy = te2, t> 0. ert is a solution to the corresponding homogeneous (a) Find a value of r for which y = differential equation (b) Use Reduction of Order to find a second, linearly independent, solution to the correspond- ing homogeneous differential equation
Part B please! Use the elimination method to find a general solution for the given linear...

Part B please! Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 9x - 10y + sint y' = 5x -y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 51 O A. y(t) = C, e -41 cos 5t + Cge -41 sin 5t + no cost + 200 sint O B. y(t) =C, e4+ Czte 4 + 2...

[10pt] 4. Which of the following differential equations has solution (t) = ce-cost + ce-sint? a)...

[10pt] 4. Which of the following differential equations has solution (t) = ce-cost + ce-sint? a) 2" - 2x + 2x = 0 b)x"+ 2x' + 2x = 0 c) <"+ 23' - 2x = 0 d) ?" - 2x' - 2x = 0 e) None of these
y(t) is INCORRECT but x(t) is CORRECT DIFFERENTIAL EQUATIONS / Linear Algebra Only people that are...

y(t) is INCORRECT but x(t) is CORRECT DIFFERENTIAL EQUATIONS / Linear Algebra Only people that are proficient in DIFFERENTIAL EQUATIONS should even attempt to solve. No beginners or amateurs allowed. Please write clearly and legibly. No sloppy Handwriting. I must be able to clearly and easily read your solution and answer. Circle final answer. BELOW is an example of what the answer should look very similar to. should be in the same form basically. example 7.10.4 Question Help Use the...
Help its for my Final Homework Use the elimination method to find a general solution for...

Help its for my Final Homework Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x-y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. sint sint 10 cost + CA. y(t) = C, e cos 2t + Czesin 2t + 10 -cost 10 9 3 O B. y(t) = C, e -...

Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2...

Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2 + y2 + 22. Evaluate (12 pts) f(,y,z)ds.