9. Find the solution of the differential equation (D – 4D + 5)y = 0 y = e2*(C, cos x + C2 sin y = e-(C, cos x + C sin А. x) y = e*(C, cos x + C2 sin С. x) y = e-3*(C, cos x + C, sin В. x) D. x)

Q: The complementary function(C.F.) of the differential equation (D – 7)(D² + 7?)y = e7² is O (c2 Cos…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: y = (C₁ + C₂x) eª + sinx+x²; y" - 2y' + y = −2 cos x + x² − 4x + 2

A: Here we find the first and second derivatives of given solution and then put in the left hand side…

Q: Match the differential equation with its direction field. y' = 9(x + y) - 1 15 0.1+ -4.31 -0.2 -Q.1…

A: Matching the differential equation with its direction field  y'=9(x+y)-1 x 0 0 0 0 0.1 0.2 0…

Q: Solve using homogeneous differential equations

A:

Q: Select all equations that are not linear differential equation □+u'(t)- t = 0. □x²b²=b""+b'. 0x³…

A: Consider the differential equations:a) b) c) d) e) To Find:Which of the above equations is not the…

Q: dy/dx − x^3 = 0 where y(0) = 5

A:

Q: Solve the Af Differential Equations I' city? +xy") dx t Cxy ty+ 2xy) &y ニ0 2.[ 2x + y copCxg] dx + y…

A: "Since you have asked multiple question, we will solve the first question for you.If you want any…

Q: The complementary function(C.F.) of the differential equation (D2 + 6D+ 18)y= z is_

A: In this question, we have find the complementary function for the differential equation.

Q: (t + 2)°y" + 3(t + 2)y' +y= 0, 1>-2, V1 = (t+ 2)

A:

Q: Determine the solution of the differential equation y" - 2y' + y = 14 y = C,e + C,xe" +e* In(1 + x)…

A: First we find complimentary function then find particular integral then solution.

Q: Which one is false? If the auxiliary equation of the homogeneous linear differential equation has…

A: Let us check which of the information given is false in the next step.

Q: Suppose the auxiliary equation of a homogeneous linear differential equation has roots m_1=-2 and…

A: We have given the root of the auxiliary equation which is m1=2 and m2=+-2i

Q: SHOW COMPLETE SOLUTION PLS. Show that y=ex(1+x) is a solution of the differential equation…

A:

Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: Two linearly independent solutions of the differential equation y" + 2y' + 8y = 0 are Select one:

A: Given: y''+2y'+8y=0

Q: Obtain the differential equation of the family of circle with center on the x-axis

A:

Q: Discretize the differential equation - 3ty=-2t, y(3) = -2 over the interval [2, 3] with step-size h…

A:

Q: Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31…

A:

Q: The solution of the first order linear differential equation y' + ycotx = cosx is O…

A:

Q: Find the general solution of the DE (x + y)dx + (x - y)dy =0.

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…

Q: find differential equation of the following equation 1) y' = y-x y+x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. Solve the differential equation d²x dt² (a) = 10- d²x dx dx dt (b) (c) 3- dt (d dt² = ď²x dx dt²…

A:

Q: Solve the ODE with differentials operator (D²+4)y= cos(2x) + cos (4x)

A: Linear ordinary differential equation

Q: Select the function which is a solution of the differential equation. y" – 2y + 10y = 0 O y = 3e*…

A:

Q: Find (1,0) where y2 + x2 + eV = 0

A: Given y2+x2+ey=0 ⇒y2+ey=-x2⇒ddx(y2+ey)=-ddx(x2)⇒2ydydx+eydydx=-2x⇒dydx(2y+ey)=-2x⇒dydx=-2x2y+ey