Give a linear constant-coefficient differential equation that
has general solution y(t) = e 2t + sin(2t) + c1e t + c2tet + c3e
−t
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Give a linear constant-coefficient differential equation that
has general solution y(t) = e 2t + sin(2t)...
7. Give a linear constant-coefficient differential equation that has general solution y(t) = {2+ + sin(2t)...
7. Give a linear constant-coefficient differential equation that has general solution y(t) = {2+ + sin(2t) +cie +cate + c3e-
Solve the second order homogeneous differential equation y" + 4y' + 4y = 0. y(t) =...
Solve the second order homogeneous differential equation y" + 4y' + 4y = 0. y(t) = Cicos (-2t)+czsin(-2t) y(t) = C1e-2'cost + cze-2'sint y(t)=Cie -22+ Cze-24 y(t) = C1e-2+cze -21
Find a constant coefficient linear second-order differential equation whose general solution is: y=(c1 + c2(x))e^-3x
Find a constant coefficient linear second-order differential equation whose general solution is: y=(c1 + c2(x))e^-3x
Find the general solution of the differential equation by using the system of linear equation. pl...
find the general solution of the differential equation by using the system of linear equation. please need to be solve by differential equation expert. d^2x/dt^2+x+4dy/dt-4y=4e^t , dx/dt-x+dy/dt+9y=0 Its answer will look lile that: x(t)= c1 e^-2t (2sin(t)+cos(t))+ c2 e^-2t (4e^t-3sin(t)-4cos(t))+ 20 c3 e^-2t(e^t-sin(t)-cos(t))+2 e^t, y(t)= c1 e^-2t sin(t)+ c2 e^-2t(e^t-2sin(t)-cos(t))+ c3 e^-2t(5e^t-12sin(t)-4cos(t))
Find the general solution of the following non-homogeneous differential equation d 2 y dt2 + 2...
Find
the general solution of the following non-homogeneous differential
equation d 2 y dt2 + 2 dy dt + y = sin (2t). (2) Now, let y(t) be
the general solution you find, when happen if we take lim t→+∞
y(t)?
2. Find the general solution of the following non-homogeneous differential equation dy dy sin (2t) (2) 2 +y= dt dt2 Now, let y(t) be the general solution you find, when happen if we take lim y(t)? t-++oo
(a) Find the general solution of the following second order linear differential equation given that y1 = t is known to be a solution:
(a) Find the general solution of the following second order linear differential equation given that y1 = t is known to be a solution: t2y" - (t2 + 2t) y' + (t + 2)y = 0, t> 0. (b) Find the particular solution given that y(1) = 7 and y'(1) = 4.
2. (e) (7 points) Find a homogeneous linear differential equation with constant coefficients whose general solution...
2. (e) (7 points) Find a homogeneous linear differential equation with constant coefficients whose general solution is y = 4 + ce?* + Gxe7x.
Find the general solution of the differential equation: y'−4y=te^−2t Use lower case c for the constant...
Find the general solution of the differential equation: y'−4y=te^−2t Use lower case c for the constant in your answer.
Use the elimination method to find a general solution for the given linear system, where differentiation...
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t 2x' + y' - 8x - 9y = e-t x' +y' +9x + 4y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. X(t)= C1 e 7t + Cze - 7t + 58 e-t- et O B. X(t) = Cy cos (7t) + C2 sin (7t) OC. x()=C7 e...
Suppose you are solving a linear homogenous differential equation. State the general solution for each of...
Suppose you are solving a linear homogenous differential equation. State the general solution for each of the following situations. You may assume that the dependent variable is y, and y = y(t). a. Second-order constant-coefficient equation, with auxiliary equation roots r = -2 +V-49 b. Second-order constant-coefficient equation, with auxiliary equation roots r = -2 + 149 c. Second-order Cauchy-Euler equation, with auxiliary equation roots r = -2 EVO d. Fourth-order constant-coefficient equation, with auxiliary equation roots r = -6,...
7. Give a linear constant-coefficient differential equation that has general solution y(t) = {2+ + sin(2t) +cie +cate + c3e-
Solve the second order homogeneous differential equation y" + 4y' + 4y = 0. y(t) = Cicos (-2t)+czsin(-2t) y(t) = C1e-2'cost + cze-2'sint y(t)=Cie -22+ Cze-24 y(t) = C1e-2+cze -21
Find
the general solution of the following non-homogeneous differential
equation d 2 y dt2 + 2 dy dt + y = sin (2t). (2) Now, let y(t) be
the general solution you find, when happen if we take lim t→+∞
y(t)?
2. Find the general solution of the following non-homogeneous differential equation dy dy sin (2t) (2) 2 +y= dt dt2 Now, let y(t) be the general solution you find, when happen if we take lim y(t)? t-++oo
2. (e) (7 points) Find a homogeneous linear differential equation with constant coefficients whose general solution is y = 4 + ce?* + Gxe7x.
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t 2x' + y' - 8x - 9y = e-t x' +y' +9x + 4y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. X(t)= C1 e 7t + Cze - 7t + 58 e-t- et O B. X(t) = Cy cos (7t) + C2 sin (7t) OC. x()=C7 e...
Suppose you are solving a linear homogenous differential equation. State the general solution for each of the following situations. You may assume that the dependent variable is y, and y = y(t). a. Second-order constant-coefficient equation, with auxiliary equation roots r = -2 +V-49 b. Second-order constant-coefficient equation, with auxiliary equation roots r = -2 + 149 c. Second-order Cauchy-Euler equation, with auxiliary equation roots r = -2 EVO d. Fourth-order constant-coefficient equation, with auxiliary equation roots r = -6,...
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