Arrange the following equations in linear form ( + P(x)y = Q(x)) and identify the P(x) and the Integrating Factor. y' = x- 2y

Q: Find the general solution of the differential equation and check the result by differentiation.

A:

Q: Is differential equation (4xy + 3y4)dx + (2x² + 5xy³)dy = 0 exact? If it is not exact what is its…

A: Given differential equation 4xy+3y4dx+2x2+5xy3dy=0. Is the differential equation exact? If not find…

Q: +2y = t² – t + 1, y(1) = dt

A:

Q: (x² + y²) dx + xydy = 0

A:

Q: Find the differential dy of the given function.     y = 3x2/3

A:

Q: Find the integrating factor of the Bernouli differential equation, y : a dr

A: The given differential equation is                                              y'=y2x2-yx

Q: By using the integrating factors, solve the initial-value problem that consists of the differential…

A:

Q: Provided the integrating factor (IF) = xy2, find the general soution of the differential equation…

A: Multiply the integrating factor in the differential equation to make it exact.

Q: Find the general solution of the differential equation. (Use C for the constant of integration. dy…

A: To determine the general solution of the differential equation.

Q: (x2 + y2 - 5)dx = (y+ xy)dy, y(0) = 1 %3D

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. y/ tan…

A:

Q: Solve the given initial-value problem by finding an appropriate integrating factor (x + y - 5) dx =…

A:

Q: Use the integrating factor technique to solve the following differential equation and its initial…

A:

Q: Find the differential dy of the given function. y = InV9 - x2 dy =

A:

Q: . Find the integrating factor of the first ordered linear differential equation, (x + 3y)dx – xdy =…

A:

Q: y(x²y² – 1)dx + x(x²y² + 1)dy = 0

A:

Q: х+1 y = 2x

A:

Q: Find an integrating factor that will make the given differential equation exact- 2y Cx²tD dx + dy =0…

A:

Q: The integrating factor of the differential equation x+y =x is dx a) x b) c) y d) y

A: We have to find integrating factor of given differential equation.

Q: v = ) V In(2x-3y

A:

Q: Find an integrating factor and solve the given equation. (12x²y + 2xy + 4y³) dx + (x² + y²) dy = 0.…

A: Given :12x2y+2xy+4y3dx+x2+y2dy=0

Q: Given the differential equation dy +y dx=2xy-e* dx what is the value of the integrating factor?

A:

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A:

Q: Find the integrating factor and use it to find the general solution for the following differential…

A: The given differential equation is: y'+5y=-6t+2e-4t. The object is to find the integrating factor…

Q: Find the integrating factor of the differential equation dy + 2xy = x³ dz %3D a. b. c. 2 In (r) d.

A:

Q: Assume that y is a function of x and use the integrating factor method to solve the differential…

A:

Q: Find the integrating factor for the differential equation and solve it, (x³ – y) + xy' = 0. Can you…

A:

Q: For which value of k is the differential equation (x^k+y^k)dx + (2xy)dy = 0 becomes homogeneous?

A:

Q: 6. (3x²y+ 2xy + y³)dx + (x² + y²)dy = 0

A:

Q: Obtain the general solution of the differential equation using Variable Seperable or Homogeneous.

A:

Q: 5. z = yex+x Iny xey-y lnx

A:

Q: For the given non exact differential equation, determine the integrating factor. (x2 + 2xy - y2) dx…

A:

Q: xydy - (y – 3x²) dx = 0

A:

Q: Find the general solution of the differential equation. (Use C for the constant of integration).…

A:

Q: With the aid of an appropriate integrating factor, calculate the initial value of the equation…

A: Given differential equation is dydx+2xy=e−x2......1 and initial condition is y0=1. We have to find…

Q: With the aid of an appropriate integrating factor, calculate the initial value of the equation…

A: Solve the following differential equation

Q: Use the differential equation and the specified initial condition to find y. 1 dy dx V16 – x2' y(0)…

A:

Q: Find the integrating factor for the non-exact differential equations: 2xy dx + (y² – 3x³)dy = 0 A)…

A:

Q: Find the general integral of the partial differential equation (y² + yz + z²)p + (z² + zx + x²)q =…

A: Given :-  The general integral of the partial differential equation  y2 +yz+z2p + z2 + zx + x2q = x2…

Q: Find a linear homogeneous constant coefficient equation with the gen- eral solution y = (A+ Bx)e-2*…

A:

Q: Determine the integrating factor for the following differential equation y'=3x+6

A:

Q: 1) y(x + y + 1)dx + (x + 2y)dy = 0

A:

Q: Determine the differential equation whose integrating factor is x2 A (2у-3x) dx + х dy%3D0 B В y dx…

A: Suppose we have the first order differential equation dydx+Py=Q,where P and Q are…

Q: Determine if the given differential equation is homogenous and solve it using integrating factors of…

A: Let's find.

Q: use an integrating factor to solve the given differential equation dy 2 2 + Зx у — х dx

A:

Q: Find an integrating factor and then solve the DE y + (2xy – e=2v)y/ = 0

A:

Q: Find the general solution of the differential equation. Use C for the constant of integration. dy dx…

A:

Q: Solve the given initial-value problem by finding an appropriate integrating factor. (x2 + y2 − 7) dx…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.