Which of the following is the general solution to the differential equation dx - (x – Jx² + y²)dy = 0 ? x + Vx2 + y2 = C In(x+ Vx2 + y²) = Cx Ов

Q: Check that the indicated function is an explicit or implicit solution of the given differential…

A: Consider the differential equation dydx=xy+3x−y−3xy−2x+4y−8 Hence,  dydx=xy+3x−y−3xy−2x+4y−8…

Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

A:

Q: Provide a general solution formula for the differential equation y" – 15y" + 70y" – 120y' + 64y = 0,…

A:

Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =…

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: Find the differential equation of the general solution y = ce4* + c2e5x %3D A. y" + 9y' – 20y = 0 В.…

A: y = C1 e4x+C2 e5x  To find :- Differential equation of given equations  Method:-  Here in given…

Q: Solve the Linear Higher Order of differential equation using the formulas below. (xD – 1)(D +x) |…

A: We have to solve the problem

Q: Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t…

A:

Q: Q2\ Find a general solution of each of the following differential equations : y.x 1. 2х-x2 dy = /2 –…

A:

Q: Which of the following differential equation has a solution of y = C,x³ + C2x ? 4y = 3x?y' – x³y" 3y…

A: To find which option is correct: We first find y' and y'' of  y = C1x3  +  C2 x and then we will…

Q: Which of the following is the integration factor of the differential equation (2xy*e + 2xy³ + y)dx +…

A:

Q: The differential equation formed by eliminating a and b from y = ae* + be* is

A:

Q: Evaluate the differential equation dy/dx = 3/x. a. y = In 3x + C b. 3y = In x + C c. e = In x³ + c…

A:

Q: What could be an integrating factor in solving the differential equation 2(х — у)dx + (3x? — 2х —…

A: We have given differential equation ,  2x - ydx + 3x2 - 2x - 6xydy = 0  This is of the form ,  Mdx +…

Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: Determine the general solution of the differential equation: dy _Y -1+ x dx Select one: Оа. X. x² 2…

A:

Q: Solve the differential equation: (x2 + y²) dx – 3xy dy = 0 A. x(x2 + 3y2) = c B. (x2 – 2y?)3 = cx?…

A:

Q: Which of the following differential equation has a solution of y = Cqx³ + C2x ? 3y = 4xy" + x²y' 4y…

A:

Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

Q: Solve the Differential Equations by Inspection (40xy-21y*)dx– (35xy³-20x²+20x?y-14xy*)dy=D0

A: The given differential equation is: 40xy-21y4dx-35xy3-20x2+20x2y-14xy4dy=0   …* Here  M=40xy-21y4…

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

A:

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: Form the differential equation by eliminating the arbitrary constants y = a csc x + b cot a

A:

Q: For which value of the constant c is the function y = 15e-® + x + c a solution of the differential…

A:

Q: Solve the differential equation: dy ху?. - x = 1 dx а. у %3D у3х + 3ln\x3| + C b. y = 2y + 31ln|x³|+…

A: