5. y' + 2y = 0, when x = 0, y = 2 %3D Ans. y = 2 e-2x %3D dy 6. xy +2 y– x - 2 ху — Зу+х-3 dx (у - 1)? c(x – 3) Ans. x- y = In

Q: 5. For what values of r does the function y = e™* satisfy the differential equation 2y" + y' – y =…

A: Given , differential equation       2y" + y' - y = 0   (2D2 + D - 1)y = 0 The auxiliary equation of…

Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

A:

Q: A There is no correct answer from among the given choices. differential equation by separation of…

A:

Q: 8. Use a substitution to solve the homogeneous 1st order differential equation (x – y)dx + x dy = 0

A:

Q: 2] The linear differential equation with constant coefficients satisfied by the equation y = 2x 5e2*…

A: Hence option (b) is correct.

Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: 4. The differential equation (2x + 3y - 1) dx + (2x + 3y +2)dy = 0 represents non-parallel lines %3D

A: Given that: (2x+3y-1)dx+(2x+3y+2)dy=0

Q: Eliminate the arbitrary constants of Ax^2 + Bx +Cy^2 - Dy = 0 (where A, B, C and D are the…

A:

Q: fx' = 9x + 7y ly' = 2x + 2y

A: We see that x'y'=9722xy. 9722The eigenvalues of A are the roots of the characteristic equation…

Q: Find the particular solution to the differential equation. 4y2 dx = 3x2 dy when x = 4, y = -1 %3D

A:

Q: Provided the integrating factor (IF) = x-2y-2, find the general soution of the differential equation…

A:

Q: 1) The vertical distance y traveled by a falling parachutist can be computed by solving the…

A: The vertical distance y travelled by a falling parachutist can be computed by solving the following…

Q: Find the specific solution for the differential equation: dy/dx + 2y = e^x Passing through the point…

A:

Q: Find the particular solution to the differential equation. x2e2y dy = (x3 + 3) dx    when x = 3, y…

A: We have to solve

Q: 3. Find the general solution of differential eguation y" - v' - 6y = 0

A:

Q: 21. Find particular solution of the differential equation- 2(x + 1)³ = dx (x+1) Y , given x = 0,…

A:

Q: The differential equation dy/dx = y(y+6) has initial condition of y(0) = 3 What is y(1)? Multiple…

A: Given

Q: In a city of a fixed population of "P" people , the rate of change (with respect to timet) of the…

A: Given Data: A city has a fixed population is P. Also given, the rate of change (with respect to…

Q: Suppose a student carrying a flu virus returns to an isolated college campus of 3000 students.…

A: Total no. Of students=3000 And x is the no. Of students interacted with the flu.

Q: Find the particular solution of the  differential equation with the initial condition given below.…

A:

Q: What is the general solution to the differential equation dydx=(x−1)/(3y^2) for y>0y>0

A:

Q: he integrating factor to the linear differential equation x(x² +1)y' +2y = (x² +1)° is:

A:

Q: 9. Use separation of variables to find the general solution of the differential equation. dy = sinx…

A: option b is correct . see 2nd step.

Q: 21. Find particular solution of the differential oquation-2(x+ 1) Y.given x 0,

A: Givne that  The differential equation  To find the particular solution of the differential equation

Q: 4. The differential equation (3.y-4y' +6)dx+(x' – 6x?y' -1)dy = 0is exact because %3D aN

A:

Q: Solve for solution of differential solution. x(dy/dx) - (1+x)y = xy²

A: Bernoulli's differential equation is: y'+P(x)y=Q(x)yn Then, I(x)=e∫(1-n)p(x)dx And the solution of…

Q: The differential equation y' – y = 0 has a solution of 1 y(x) = n! n=0 Show v(r) is a soluution to…

A:

Q: At high temperatures, nitrogen dioxide, NO2, decomposes into NO and O₂. If y() is the concentration…

A: Given that dydt=-0.5y2 Solution a: Now, by variable separable method, we get' dyy2=-0.5dt…

Q: what is the solution to the differential equation 2\sqrt(xy)(dy)/(dx)= 1 at y(4)=1

A:

Q: The nature of the equilibrium value at y = 3 for the differential equation y = (y – 3) is Stable O…

A: Considering the equilibria at y=3, we see that: For values y<3, we get y'<0 and For values…

Q: 44. The integrating factor of the differential equation x dy + y dx x^2 dx is_. 1 O e^-2x O e^-2y…

A:

Q: Suppose that a certain population has a growth rate that varies with time and that this population…

A:

Q: 4.Calculate the differential equation y''= 3x + y2 + y + y', y (0) = 2, y (1) = 4 by shoot-ing /…

A: Given that the differential equation is  y''=3x+y2+y+y'; y(0)=2, y(1)=4 Also given that h=1/3 we…

Q: Suppose you have a first order differential equation of the form: M(x, y) + N(x, y)y' = 0 Further…

A:

Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent…

A: We are asked to find the  non homogeneous second order euqation.

Q: find the solution of the differential equation     dy / dx = y / (y-x)  with y(5) = 2

A:

Q: Determine the particular solution of the given differential equation: y = 2(3x +y) – 1. when x-0.…

A:

Q: 3. Given that y = 1 when x=-1, find particular solution to differential equation dx dy – 3x²y² =…

A:

Q: Now the differential equation at (2, 37) is dy y-37 = dx X- -2 Now the differential equation at (3,…

A: We know, a differential equation is said to be autonomous if it does not explicitly contain the…

Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?…

A: This is Separable differential equation

Q: ) Find the particular solution of the differential equation dydx=(x−3)e−2ydydx=(x−3)e−2y satisfying…

A:

Q: dy cosh x dx + (sinh x)y = e-x

A:

Q: The population y(t) of a certain microorganism grows continuously and quadrupling time is found to…

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to…

Q: 20.Find the particular solution of the differential equation x +1) = x3 – 2y, given x = 1 dx when y…

A: We have to find general solution of given differential equation with initial condition.

Q: y dy dx x+1=- x with initial conditions y = 1 at x = 2.0, produce a numerical solution of the…

A: For a differential equation of the form: y'+P(x)y=Q(x), the integrating factor is calculated using…

Q: 45. The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if at x=1, y3D0 is_

A: Given differential equation is x²dx - (y+1)dy = 0

Q: Find the particular solution of the differential equation dy = 5x"y using the given boundary…

A:

Q: Suppose the motion of a mass-spring system is described by the differential equation x"+By'+1y=0.…

A: We will use knowledge of basic differential calculus to solve this problem.   It should be noted…