Linear DE 1. x²y' + 2xy = 5

Q: Find the complete integral of non linear First partial differential…

A: Given equation is  p2+q2x=pz , p=∂z∂x,q=∂z∂y Let, f=p2+q2x-pz Now, differentiating f partially w.r.t…

Q: Show that y = -cosx In(secx + tanx) is a solution of y" +y = tanx

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Q: 2 y

A: According our guidelines i solve only first question.For second solution please resubmit again…

Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

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Q: Find the differential dy. y = 6x7 + 3x2

A: Given:y=6x7+3x2

Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: (1) Find the general solution for -) dx - -) dy = %3D

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Q: Use integration to find a general solution of the differential equation             dy/dx = ex/(4 +…

A: Given ,           dydx=ex4+ex

Q: If z = +3y, find the differential dz. dz =

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Q: 4. |1- sin2y dy 6. y +2)/y- 1) dy (y + 2)/y

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Q: Compute the differential dy for y = (2x + sin x)². dy =

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Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

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Q: Explain of the method of proving the derivative (dy/dx) of y=U(x)ᵛ⁽ˣ⁾ where U(x) and V(x) are…

A: y=uxvx, where ux  &  vx are the differential functions of x. To differentiate these type of…

Q: 2 xy dy – (r' + 2y³) dx = 0 xsin 2 dy y sin- -x | dx

A: Homogenous differential equation: Let us consider differential equation of the form…

Q: z = sin(6x) sin(5y) az az dy II

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Q: 5. sinx+ cosh2y = 0. dy 6. /2xy -= 0. dy y

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Q: Integrate SxIn x)dy

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Q: Let y=5x^2Find the change in y, Δy when x=3 and Δx=0.2Find the differential dy when x=3 and dx=0.2

A: To find the following parts. 1.)find the change in y (∆y), when x=3 and ∆x=0.2. 2.)find the…

Q: Use separation of variables to find the solution to the differential dy 0.3(y – 300) if y = 60 when…

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Q: gin (t) et dt

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Q: sinh (u+v)=sinhycoshr+ coshuxsinhv

A: Use hyperbolic function

Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

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Q: 7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order,…

A: Note: since you posted multiple questions. As per our guidelines we are supposed to solve one…

Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: Is differential equation (4xy + 3y4)dx + (2x? + 5xy³)dy = 0 exact

A: A differential equation   M dx +N dy  =0 is  said to be exact if ∂M∂y=∂N∂x

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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Q: Differentiate. y =x° In x- dy II

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Q: If y = eex the y' - y" + exy' is equal to?

A: The given equation is y=eex

Q: Compute the differential dy  for  y=(6x+sinx)^3

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Q: dx -- 2 = 3y - 2 when x = 1, y = 1 dy

A: the given differential equation is: ydxdy-2=3y2-2 it is given that when x=1,y=1 we have to find…

Q: Estimate Ay using differentials. 1/33x-1, y = x ¹/3 e³x-1. a = 1, dx = 0.1

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Q: dy 1- cosh x + (sinh x)y = e¯x dx 2 dy 2- - y = e*/2y³ dx

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Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: Compute the differential dy for y = 7x° – 4x2. dy =||

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Q: Compute the differential dz of the function. 3,,10 x°Y %3| dz

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Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: dy 3. y = [(x + 1)(x – 1)]³, dx dy 4. y = (t + 4)(t – 2)(t – 1), dt 12/07/2021 15:

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Q: 5 dy of: y = |x sin 2 + tan (x") dx 4

A: Given function is y=xsin2x+tan4x75 We have to find dydx. Here, we have to use some rule of…

Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x

Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: 3ysinxdx/dy-2xycosx=0, Find exact differential equations

A: Given  3ysinxdx/dy-2xycosx=0

Q: d?x 2 dt2 dx - 5- dt 3x = -9t2 – 1 - %3| - - dx When t = 0, x = 1, = 0, find x when t = 2 %3D - dy

A: The given differential equation is 2d2xdt2-5dxdt-3x=-9t2-1                   (1) to find x(2) with…

Q: 5. dx/dt = (4+x)(y-x), dy/dt = (10-x)(y + x)

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Q: Obtain Differential Equation by Substitution:  DE dv/du=(u-v)^(2) -2 (u-v)-2

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Q: Find the differential dy when x = 3 and dx = 0.2 %3D

A: When you get function of function form to differentiate, we use the chain rule. y = f(g(x)) dy/dx =…

Q: Explain of the method of proving the derivative (dy/dx) of y= U(x)V(x) where U(x)and V(x) are…

A: We have to explain of the method of proving the derivative dydx of y= U(x)V(x) where U(x)and V(x)…

Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

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Q: 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy

A: A differential equation (Mdx+Ndy=0) is exact if  dM/dy= dN/dx

Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.

A: We try to identify and group terms and integrate.

Q: Sin'z dz 4.

A: Note :- These are multiple questions and you not mention here whose solution you want. So i am…