Answer 6. Solve (2y² +2y+4x²)dx+(2xy+x)dy=0 6. C=x°y* +x*y+x

Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

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Q: e IVP

A: This equation is belonging to the differential variable calculus equation of the initial variable…

Q: (х + у+4)dx+ (x + у—3)dy %3 0

A: The differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact if there exists a function f(x,y)…

Q: Зx2-7 dy 2х3+5 dx

A:

Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: A 1 x る8 %3D 은 AB=C Find X+g?

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Q: Solve the equation x*ydx +(y-x² )dy = 0.

A:

Q: Solve Ja-yi ) dy

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Q: Solve : (6x + y) dx + y(2x – 3y)dy = 0 xự + 3x? – = c 3æy – 3x? – y = c | - Option 1 Option 2 xy +…

A: We have to solve

Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

A:

Q: dy 7x - x + 10x + 4 .3 Find if y = DO NOT dx x2 + 6x + 1 SIMPLIFY.

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Q: a va?-x? a²-x² (x + y) dydx

A: We have to find the value of given intregation.

Q: Ql:- Solve 2+ y = 2 dx 1+x+y.

A: The solution for the above problem is shown below.

Q: solve (D2+1)y=sinxsin2x

A:

Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

Q: Use the substitution u = x² and the equation of a semicircle to evaluate 4XV4 - x* dx.

A: Given the integral  I =∫024x 4-x4dx To evaluate the integral :- Using the substitution,  u = x2  du…

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: 3-(2x-45y)dx +(5x+33%}) Ayzo

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equation…

Q: B. ty" – (t+ 1)y +y = t?

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Q: y ²x ²dy + 4xydx = 0

A:

Q: y" +y = 2xsinx

A: Let's find.

Q: (2x3-x²+2x-2 dx -2 (х2-2х+2) х

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Q: (x² + 1) 을. + 4xy = x dx

A: The order of the differential equation is the highest order derivative occurring in the solution.…

Q: -5/2 y?-2y 4. -/2 - 2y 1/2

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Q: Suppose y dy dx -18 x 3x³-4. Then 6x +1 + (6x + 1) +

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Q: (D²-2D-3)y=64xe³x

A: We have to solve the given differential equation.

Q: 1 √x y³+1 2 Sőt. S²/E 0 dydx

A: We are given an integral. Our aim is to evaluate the integral ∫04∫x21y3+1dydx.

Q: Solve ÿ + 6ỷ + 9y = 0 dy + 2y = e-4 dx d²y + y = 0 dx2 dx²

A: Note : There are multiple questions. Here is the solution of first question. Given differential…

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

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A:

Q: Solve y:4x°x5 if +2x+5. x=l when y=l0

A: Given

Q: 14 16 3x +5x (x³+x²+1) -dx 4

A: We have given, Let  and  be polynomials, where  has repeated roots and  is a proper fraction, i. e.…

Q: 9x2 + 24xy + 16y + 80x – 60y = 0 %3D

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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.