2(x-1) + If y = Vx? – 2x then y' %3D | 3Vx2-2x

Q: 5- dy/dt = y²(y+1)(y-3), -∞<Yo<∞

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Q: 3. Find (6-+- vē)dt Vy 4. Find S- dy (4-yの?

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Q: How come it is 20y and not 20y^2/2 after integrating?

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Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: Find integrating factor of the equation (x4+y4)dx-xy3dy=0

A: The given equation can be rewritten as   xy3dydx=x4+y4    ∴y3dydx-y4x=x3     Let y4=t…

Q: 29, + 16y=0 geoJ = 2, go)= -2 2. 31, dy dy -54 =0 dt

A:

Q: If x2 + y2 = 25 and dx/dt = -2, then what is dy/dt when x = 3and y = -4?

A: Given x2+y2=25Differentiating with respect to t,ddtx2+y2=ddt25

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

A: Given :

Q: If x^2 + y^2 = 25 and dx/dt = -2, then what is dy/dt when x =3 and y = -4

A: Given that  x2 + y2 = 25   .... (1) dx/dt = - 2 To find dy/dt when x =3, y = - 4

Q: 1 [ (2 -y - VE) dy 2 – y – 0. 1 | (2-y (2 – y – V9) dy 0, 2 | (x² – (2 – æ)) dæ - 2 [ (2² – (2 – a))…

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Q: What is the integrating factor y x² = 2 (2x - y)?

A: The given equation is; y'=2(2x-y).

Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

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Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

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: 2.Find the particular solution of y (9x-2y) dx -x (6x-y) dy=0., when x=1, y=1. Let x=vy

A: Find out the particular solution.

Q: 2²ye+v°-²dx dy dz 1 -1

A: We have to calculate the integral.

Q: Solve the particular solution of 3y(x^2 - 1)dx +(x^3 + 8y - 3x)dy = 0; when x = 0, y = 1

A: The given differential equation is 3yx2-1dx+x3+8y-3xdy=0. The initial condition is x=0 when y=1. The…

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 = ( -

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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: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

Q: 4. (x +y- 4) dx - ( 3x-y-4) dy = o when x=4, y=!

A:

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: 23-4x-8 Integrate: 2E+4) dx 1)(r²+4)

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Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

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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: d x dt 2+ + 3x + 5y. = LY dt -3Y-5X ex

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Q: (x + 1)2 + y = Inx; y(1) = 4 dx Oyx + 1) = xlnx – x + 9 Oyx + 1) = xlnx – x + 8 Oyx + 1) = xlnx – x…

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Q: Find the particular solution of  y(y^2 + x^2)dx + x(3x^2 − 5y^2)dy = 0 ; when x = 2 , y = 1

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

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Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…

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: (4) (2xcosy+3x²y)dx+(x³ – x²siny-3)dy=0

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Q: Solve integration by (udv) T/2 DS Š X cos(x) dx 2) { X cos (ux) dx 7/2

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Q: Find the solution of dy/dx = (-x^2/y^2) + ( 1 / ( 3y^2 (x^3 + y^3)^2 )

A: Given: dydx=-x2y2+13y2x3+y32

Q: + 4 oly +6y =0 dt dy +2 -6x=6

A: Introduction:Simultaneous equations are those in which the derivatives of two or more dependent…

Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

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

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Q: 4x cosex²x+ 5 1 4 secxtan x+ dx. 4. Integrate Vx 3

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

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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: 3. Integrate! 12e-0.21 а) -dt b) 6r 3,2 Se041 dr dx c) f- x. V1+ In 3x?

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

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Q: 2. fizə] ycos (xy)] dx + [2xe2y - xcos (xy) + 2y] dy = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1 dz -÷z³ = t² + 3t – 2 dt 3 z2 -

A: Differential equations and their type

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

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.