ху (x + Vy² + 1)dx- y y² + 1] dy = 0 when x = 1, y = v3 II

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: Find general solution of: 2x ( y - x^2) dx + dy = 0

A: Topic:- solution of differential equations

Q: d- . -x e-(x² +y²) dy dx -(x²+y²) dy dx

A: We can answer one question as per the honor policy. Please resubmit other question as well to know…

Q: 3) y sin-ly² dy

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Q: 2. (3x-y-4)dy -(x+y-4)dx=o

A: Given :

Q: 2 dx + ( 2x-y+3) dy = 0 ans. y + C = - In |2y-y+4|

A: See the details solution in below

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: 5y + sin y = x²

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Q: 7. (2x + 3y)dx + (3x + 2)dy = 0 When: x = 3, y = 2

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Q: Evaluate the integrals

A: Given I=∫01∫03-3x∫03-3x-y1dzdydx

Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

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Q: Evaluate the integrals

A: The given integration is: ∫03∫09-x2∫09-x2 dz dy dx Here first to solve the inside integration with…

Q: solve (x-y)dx + (3x+y)dy = 0 using homogenous

A: We know that if a function is homogeneous if f(tx,ty) = tnf(x,y). Here n is degree of homogeneous…

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: In x 2. Integrate -dx , (i) using the sub stitution u = Inx (ii) using integration by parts.

A: Integrate by substitutions and by parts

Q: Solve (x +3y- 4) dx + (z +4y - 5) dy = 0 (x+4y-5) dy= 0

A: We need to solve the following differential equation (x + 3y - 4) dx + (x + 4y - 5) dy =

Q: 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = ( -

A:

Q: 1. (2x – 3y) dx + (2y – 3x) dy = 0 - -

A: According to our guidelines we can answer only three subparts of a question, or first question and…

Q: 1. (ex-y)(1-e²y)¹/² dx = dy

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Q: 1- 2r (1 + y')dx - y (1 + 2x)dy =

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Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: Solve for dy/dx. y=((5x-3)/(4-3x))^-3

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Q: Solve for particular solution. (2x-6y+4)dx + (x-2y-3)dy = 0 ; when x = 1, y = 1

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Q: 5-(x^2-y^4)dy/dx=xy

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Q: (continue solution of de) (2ysinxcosx - y + 2y²e*Y" )dx = (x - sin²x - 4xye*y" )dy

A: Using method of exact differential equation.

Q: (3 sin y – 5x)dx + 2x2 cot y dy = 0 -

A: Solution :-

Q: 2sin(y)cos(y) sint(y)+costy) dy

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Q: 1. (3x + 2y + 1)dx – (3x + 2y – 1)dy = 0 -

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Q: find dy/dx: (x+y)3+ (x-y)3=x4+y4 ?

A: The given equation is x+y3+x-y3=x4+y4. Find the derivative dydx using implicit differentiation as…

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

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Q: sin(2x) dx+cos(3y) dy=0,y(π/2)=π/3

A: Consider the provided differential equation with given initial condition,

Q: 3 -V7 dz dy dx dy dz dx

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Q: 16 dx -5y -0 dy dy 3

A: We solve this by ordinary differential equation

Q: (2x+ 3y) dx + (3x-y+5) dy

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Q: dy 3 (49-y²) 2

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Q: 3) Find d²y/dx² at the point (1, 1), if x6 + y6 = 2.

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Q: 7 5-y y dx dy 3y

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Q: 3. (6x + y²) dx + 2x - 3y) dy = 0. ANS. 3x + xy² ya:

A: Here we have to solve the differential equation.

Q: /25-x2 V25-x2 -y2 1 dz dy dx -/25–x² -V25-x² -y²

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Q: 26. = 2xy² + 3x²y², y(1) = -1 dx dy 27 -7

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Q: (b) Integrate x-³e-l/a², dx

A: Here we can find the answer as below.

Q: 1. (3sin y – 5x)dx+2x² cot ydy = 0 -

A: **As per our guidelines we are supposed to answer only one question at a time. Since you have posted…

Q: 17. dy dx = y2/3

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

A:

Q: 9) (x- y°-Ay-1) dx t 2x (x4 y +2)dy =o

A: As we know that the differential equation Mdx+Ndy=0 is exact, If ∂M∂y=∂N∂x. The solution is:…