If y of a differential equation is cx+ cze+cze , then W3 (a) (b) (e) (2x + 1)e- (d) (2x-1)e 16 :Select one d. a b

Q: (b) y" – 9y = e3a

A: To find general solution of differential equation

Q: The solution of a certain differential equation is of the form y(t)=a^(3t)+b^(5t), where a and b are…

A: Given solution of a certain differential equation is,

Q: The solution of the differential equation 3.9 + x² + x²y+ 3.9y 1+ Y dy dx using variable separable y…

A: The given equation is dydx=3.9+x2+x2y+3.9y1+y On simplifying this, we get…

Q: 5. The order of the differential equation (y" )5 + 2x(y"')* – 3y' - 4x° = 0 is c. 3 d. 6 a. 5 b. 4

A: Topic:- calculus

Q: 2. Find the general solution of the differential equation where y = x² is a particular solution (1 –…

A: We know

Q: 1. The differential equation +3 + 2x = 0 has the general solution x(1) = c1e+c2e-2 (by using the…

A:

Q: rcise 2 : - the differential equation r³y" – 2x²y" + 6xy = x(2 ln r + 1).

A: Since you have posted multiple question we are supposed to be answer only first one..kindlyr  repost…

Q: 1) у %3D 3x2 + се 2х ; у+2у3 6x(x+1)

A:

Q: 3. Find the differential equation associated to the equation: Y = C₁xe¹³ +₂e=³ +C₁x²e-³

A:

Q: (a) Find the general solution of the partial differential equation: (y² + u² – x²)p – 2xyq = –2xu |…

A: Lagrange's form Pp+Qq=R ⇒dxP=dyQ=dzR and the general solution is given by f(c1,c2)=0

Q: Which one is the differential equation if its solution is y= acoSx-bsinx O a. y"-y' 0 O b. None of…

A: To find the differential equation whose solution is represented as: y=acosx−bsinx

Q: Find general solution to the differential equation A-2xy'= 3y

A:

Q: 2. Find the general solution of the differential equation y'+2xy 2xe-x2

A:

Q: Example: Consider the differential equation 3t²y" + 11ty' – 3y = 0. | Is y(t) = a solution?

A:

Q: (b) Find the complete solution of the differential equation y" + 9y = -5x² + 4cos2x %3D

A:

Q: Solve the differential equation y" - 3y +2y cos(e-x) y=Ce2x+ Cze* -e2Kcos(e-x) y= Ce2 + Cze*…

A: We will find out the required solution.

Q: 7. Solve the differential equation: d3x d?x +11 = 3e-2t %3D dt2

A:

Q: -21 Give a general solution of the differential equation y"-2y'-8y = 3te ²¹.

A:

Q: The solution of the Ordinary Differential Equation 4y" - y' - 3y = 0 if y(0) O and y'(0) %3| 7 - is:…

A:

Q: 3( 1+x2 )y' = 2xy( y3-1) Find the general solution by determining the type of differential equation.

A:

Q: Solve the differential equation: (1-x)y'=y^2 * O y Inlc(1-x)|=1 O y^2 In/c(1-x)|+1 O Inlc(1-x)|=y^2…

A: To solve the given differential equation

Q: (b) Find the complete solution of the differential equation y" + 9y = -5x² + 4cos2x

A:

Q: a) Solve the following first-order differential equations: ER -y- = 2x, given that when y=0, x=+2

A: The given differential equation is:

Q: 4 - Solve the differential equation a'y" + xy' – 9y = 4 a) y(x) = c1= + czæ" - In a b) y(x) = e1 +…

A:

Q: Solve the separable differential equation 7e-3x+2x -xcosx y' = -6y3

A:

Q: 5. A differential equation is if it can be written in the form f(y)d(y) = g(x)d(x)-

A: A differential equation is ORDINARY if it can be  Written in the form f(y)dy = g(x) dx .

Q: Form the Differential equation if its solution is V=acos(2x +b) O a. y'= 2x b. None of these O c.…

A:

Q: Find general solutions of bernoulli differential equations.   y' - xy^2 = 2xy

A: Write the Bernoulli differential equation in the standard form: Rewrite the given differential…

Q: What is the general solution of the first order differential equation a csc (2) – B da + a dß = 0 if…

A:

Q: 1. Solve the Differential Equations. (3x² - 2y²) y' = 2xy

A: Ode

Q: EXAMPLE--5 x'y"+ 5xy' + 4y =x+ Inx find the general solution of the differential equation.

A: Solution: The objective is to find the general solution of the given differential equation

Q: What is the general solution of the first order differential equation a csc (2) – B da + a dß = 0 if…

A:

Q: (D^2 +2D+2)y=e-xcscx

A:

Q: 1 It is known that y1 (x) 20 =: (2) = are solutions of the differential equation x'y"-by = 0, so…

A: given differential equation is x2y''-by=0                  (i) Given that y1x=1x and y2x=20x are the…

Q: The solution of a certain differential equation is of the form у(t) — а ехp(4t)+bexp(6t), where a…

A: Intial value problem

Q: y'=-8xy² +4x(4x+1)y-(8r² +4x² –1) Find the general solution of differential equation

A: Given: y'=-8xy2+4x4x+1y-8x3+4x2-1

Q: Example: Find a solution to the BVP problem d²y d - y = 0; y(0) = 0, y(1) = 1 if we know y(x) = Ce +…

A: Given BVP is d2ydx2 - y = 0 with  y(0) = 0, y(1) = 1

Q: The differential equation y = y - y² has one of the following one parameter families as its general…

A: Solution of the initial value problem using Separation of variables method. Given differential…

Q: 5. A differential equation is if it can be written in the form f(y)d(y) = g(x)d(x).

A: ## Given differential equation       f(y)d(y) = g(x)d(x)

Q: The differential equation y(4)+ay'''+by''+my'+ny=0 has the general solution of…

A: The solution is given as

Q: The particular solution of the differential equation y" +2Ky"+3y' = Kx-4 is K=4.1 Your answer

A:

Q: 2(a) Show that for any values of the arbitrary constant c, and the function C2 d²y + y = 0 y = c1sin…

A:

Q: Find the solution of the differential equation у" — 4у — 4х — Зех - y = Ce2x + C2e¯2x + e* + x а.…

A: Solution:

Q: 3. Find all equilibrium solutions to the differential equation y= (y+1)(y- 1)(y- 2)² and identify…

A:

Q: II. Solve the given linear differential equation showing the details of your work. 1. (D² -3D-4)y =…

A: The objective is to solve the given linear differential equation.

Q: How do you solve the 3rd-order differential equation y'''-3y''+2y'=3cos^2 2x  using the Method of…

A:

Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3dy -0, we let the substitution

A: In the differential equation (x+2y-1)dx+(2x+4y-3)dy=0. we let the substitution W=?

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.