(4) the values of the constants m and n for which y differential equation = mx +n is the solution of the dy dy + 6. dx + 10y = 10x. dx2

Q: 1. The solution of the differential equation (x + 1) +o +1) = 0 is C. y = x(x - 1) D. y = A y=2+x B.…

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Q: 3. Find all solutions of the given differential equation. dy xy dx x² + 1

A: Given dydx=xyx2+1

Q: The general solution of the differential equation d’y dy dx 2 -X-+Y3D2(nx dx

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Q: B. Find the general/particular solution of the given higher-order differential equation 5.) dx4 d*y…

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Q: 1. Consider the problem y' = 1 – 2xy, y (0) = 0. (a) Since the differential equation is linear, an…

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Q: 5 Find the general solution of the differential equation: (1+x³ ) dy – x² y dx = 0 %3D Then find the…

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Q: 1. Find the general solution of the differential equation (1+ 9x²) cos y dy – 3(1+ sin y) dr = 0.

A: we have to solve this by separation of variable

Q: 5. Find the general solution of this first-order linear differential equation. dy + 3x3y = 3x3 dx

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Q: Find the general solution of the given second-order differential equation. 3y" + y' = 0 y(x) =

A: Given second order differential equation is 3y"+y'=0.

Q: Find the general solution of the given higher-order differential equation. y"" - 2y" - 3y' = 0 y(x)…

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Q: 7. To solve the initial value problem 1 dy - y(x) = e *, x> 0, y(1) = 4, dx a. Write the…

A: a) Standard Form:

Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

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Q: 1) Solve the differential equation x² + y² ) dx - :- (ryVx² + y²) dy = 0.

A: the given differential equation is: x3+y2x2+y2 dx-xyx2+y2 dy=0 we have to solve the given…

Q: The particular solution to the nonhomogeneous differential equation y" +4y' +5y 10x +3e-* %3D 2x -+*…

A: Given, differential  equation,      y" + 4y' + 5y =10x+ 3e-2 ⇒(D2+ 4D+5)y= 10x + 3e-x…

Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eº. -2x -2x cos €² e + e е -2…

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Q: The values of the arbitrary constants in the general solution y = A + Be-4x of the differential…

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Q: 3)The solution of the differential equation=x+1-y is y=(x-e-xc). True O False

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Q: Find the general solution of the given second-order differential equation. y" - y' - 30y = 0 y(x) =

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Q: 1) Solve the Bernoulli differential equation with the given initial condition. x-2xv = 3y“, >0 =

A: Given: x2dydx-2xy=3y4  The initial condition is:  y1=12 Dividing the give equation by x2 , we have:…

Q: 4. (а) Find the general (implicit) solution to this differential equation. dy x – 5 (x – 1) dx y²(x…

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Q: Find the general solution of the given higher-order differential equation. y(4) + y''' + y'' = 0…

A: The given differentail equation is  y(4) + y′″ + y″ = 0.

Q: 1. Consider the differential equation d³y – 27y = dx3 Te3x | • State and give a general solution to…

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Q: Given the differential equation A y = 2x² + 11 ® y = 2x² - 11 y = 2x + 11 Dy=x²-11 dy -=4x. Find the…

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Q: Find the general solution of the given higher-order differential equation. y"" - 3y" - 4y = 0 y(x) =

A: Given :y'''-3y''-4y'=0

Q: Find the particular solution of the given differential equations. 5. x²(y+1)dx + y²(x - 1)dy = 0…

A: Using Method  of Variable Separable.

Q: particular solution for the first-order linear differential equation dy +5v-x= e y(0)

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Q: A particular solution of the differential equation y" – 2y' + y = e* is

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Q: 3. (a) ! Show that the differential equation (r2-y2)dx-2rydy 0 is exact. (b) . 1 Find the general…

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Q: The solution of the differential equation y"-xy' +y 0 is y = = O This option y = 1– x²

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Q: 1. Find a general solution for the Differential Equations dy x- -y = x dx

A: As per company guidelines, we need to answer only one question. So, kindly repost the other…

Q: The general solution of the differential equation (x−3y+2)dx+3(x+3y−4)dy=0

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Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) = =

A: To find out the general solution of the given differential equation.

Q: Find the general solution of the given second-order differential equation. y" - y' - 20y = 0

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Q: Find the general solution of the given higher-order differential equation. y""8y" - 9y' = 0 y(x) =

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Q: Find the general solution of the given second-order differential equation. 3y" + y = 0 y(x) = ||

A: We have to find the general solution of given second order differential equation

Q: find the general solution of the given second-order differential equation.   13-             3y" +…

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Q: 1)a) Find the general solution of the differential equation (y')3 – y*(y + xy') = 0

A: Given: y'3-y4y+xy'=0

Q: 1. Consider the differential equation d'y – 27y = dx3 7e3x State and give a general solution to the…

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Q: Find the general solution of the given second-order differential equation. у" + бу' + 9у %3D0 y(x) =

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Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: (b) Without solving. What is the form of a particular solution of the given differential equation y"…

A: To find  The form of a particular solution of the given differential equation

Q: 2. A solution for the differential equation is y = Pe-3x/2+ Qe¬x!2.

A: Let's find.

Q: The solution of the differential equation x2 + 2 dy using variable separable x dx 4y3 +7

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Q: Find the general solution of the given higher-order differential equation. y" - 2y" - 3y' = 0 y(x) =

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Q: 1. Find the general solution of the given differential equations: y/ - y = x +1

A: We have to solve the given differential equations.

Q: 2. (x+2y-1)dx - (2x + y - 5)dy = 0

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Q: (d) у" + 6у + 10y 3 е2" e2¤ cos(x)

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Q: Find the general solution of the given second-order differential equation. бу" + у' %3D 0 y(x) =

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Q: 4 =z² and the initial condition y(1)= a, what is the dr Given the differential equation (2+2) ?…

A: As per guidelines, We will answer only first one question if others was not specified.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.