The complementary function(C.F.) of the differential equation (D² + 6D + 18) y = is

Q: y" -8y' + 16 = 0

A:

Q: Find the general solution of the differential equation y" + 2y' = -2te 24.

A: y''+2y'=-2te-2t find roots for the homogeneous system r2+2r=0 r(r-2)=0 r=0, r=-2 for real roots…

Q: Find the general solution to the differential equation y'' - 4y' + 5y = 0.

A: Here we find the general solution of the differential equationy''-4y'+5y=0-1

Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

A:

Q: 2x Verify that the function y = C1e^ + C2e is a solution of the differential equation y" - 3y + 2y =…

A: Given a differential equation, y''-3y'+2y=0 To verify that the function y=c1ex+c2e2x is solution of…

Q: Find the general solution of the Differential equation (D² + 1)´y = e°

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Q: Find the general solution of the differential equation y" + 3y' + 2y = 3e-2x

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Q: The Complementary Function of the differential equation (D² – 7D + 12)y= x² cos 3x is O CF = Ae 4x +…

A: first equate D^2-7D+12=0

Q: The differential equation: d'y + y³ = 2x³ dz2 is O (E) O non-linear, 5th order O non-linear, 2nd…

A: As per guideline we have to solve one question

Q: solve the differential equation p2-7p+12=0,where p =dy/dx

A: Given: The equation is p2-7p+12=0, where p=dydx To find the solution of the given differential…

Q: Find the solution of the differential equation d'y d²y dy + 11 + бу — 0 dx +6 dx3 dx2

A: The solution is given as

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: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

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Q: Find the complete solution of the differential equation d²y * +6 + 9y = 5x-3 %3D dx2

A:

Q: (b)Find the complete solution of the differential equation 3y" + 5y' – 2y = -2e*/3 – 5x

A: From the given differential equation: 3y''+5y'-2y=-2ex/3-5x So, we can also write as:…

Q: Determine whether the function y = e−2x is a solution of the differential equation y(4) − 16y = 0.

A: Given differential equation, y4-16y=0        ...(1)

Q: The solution of the differential equation (x³ + 3xy?)dx+ (y3+3x² y)dy=D0 is

A:

Q: Find the general solution of the differential equation y(4) - 4y" = t² +e².

A:

Q: Find the general solution of the differential equation ? x2y" - 3xy' + 6y = 0

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Q: The differential equation d²y +72 + 6y = 0 has auxiliary equation dæ? dx with roots

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Q: ,determine the general solution to the given differential equation. Q. y′′′+3y′′−4y =0.

A: Given: y'''+3y''-4y=0              (1) To find: The general solution to the given differential…

Q: Find the general solution to the differential equation x²y" – xy' + y = x, 2 x > 0

A:

Q: Find the general solution of the differential equation ? x2y" - 2xy' + 2y = 0

A: Solution -  Given equation is of the form of Euler equation -  Euler equation is given as -…

Q: (a) Find the general solution of the differential equation d²y dx² +9y = x² + x + 1.

A:

Q: Solve the differential equation of y(x2y2-m) dx + x(x2y2+n) dy = 0

A:

Q: Find the general solution of the differential equation y" – 10y' + 29y = e-*

A:

Q: Find the general solution of the differential equation: d^2y/dx^2+9y=0.

A: Using auxiliary Equation ,

Q: Find the general solution of the differential equation: dºy d'y d'y d'y da3

A: here we have to find the general solution of the given differential equation. the solution is…

Q: Verify that the function y = e−2x is a solution of the differential equation     3y′ + 5y = −e−2x

A: We need to check that if :                                y=e-2x is the solution to the differential…

Q: Find the complete solution of the differential equation d2y/dx2 +3dy/dx −4y = xe^−4x.

A: Consider the provided differential equation,

Q: (D³ – 3D² -3D • 2) y =

A:

Q: Find the function satisfying the differential equation 3/ – 4y = 6e"

A: Given the differential equation as y'-4y = 6e6t It is 1st order Linear Differential Equation Compare…

Q: Solve the differential equation: dy x+(ax- 7)y = bx dx a = 1 b=5

A:

Q: a) Find the general solution to the differential equation f"(x) = e8x + 3x – 1 1.

A:

Q: Find the general solution of the differential equation, 4y" + 4y' = 2y.

A: see below solution

Q: convert the differential equation system and solve the system: (B t 4D +S

A:

Q: Find the general solution to the differential equation x²y" + xy' + y = 0, x > 0

A: Note that the general form of an Euler equation is given as ax2y''+ bxy' + cy = 0. Such type of…

Q: Find the general solution of the differential equation dy - 2t(y² + 9) dt

A:

Q: y" + 6y' +9 = 0

A: To find solution of the differential equation y"+6y'+9y=0

Q: The general solution of the differential equation (D² +3D+2)y=D0

A:

Q: Find the general solution of the differential equation,2y′′−8y′=−8y.

A:

Q: A/ find solution for the differential equation below: Y"' - 6Y" + 11Y – 6 = 0

A:

Q: Find a particular solution to the differential equation y" – 4y' + 4y = x e2x

A: We have to check

Q: Find the general solution of the differential equation xyy'=x^2+3y^2

A: A differential equation is an equation that relates one or more functions and their derivatives as…

Q: The solution of the differential equation x?y" – 3xy + 4y = 0 is

A:

Q: Find the general solution of the differential equation: d2y/dx2+36y=0.

A: Given:        d2ydx2+36y=0         y''+36y=0   The differential equation has the form:…

Q: | Find the general solution of the differential equation y" – 6y' + 5y = 3e2".

A: To solve the differential equation, first I have written the differential equation into operator…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.