If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

Q: Given that y =5u'+4u and x 1 hence find dy dx

A: Differentiation problem

Q: Given x 19 In(t) and Y 361 t2 then find dy dx dy dx?

A: To find: The value of dydx and d2ydx2. Given: The values are x=19 ln t and y=361t2. Formula used:…

Q: Find the solution to the DE. (y- x+ xycotx)dx + xdy=0

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Q: (x– x'ye" )dy – dx = 0

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Q: Given æ = 13t – 49 and y = 169 sin t dy dx dy dx? ||

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Q: solve D.E. by using homo. xsin-- ycos-) dx + xcos-dy = o

A: put y=vx dydx=v+xdvdx differential form  v+xdvdx=vxcosv-xsinvxcosv take x common and split the…

Q: Solve the given DE: dy ex – 2x cos y ey – x² sin y' - dx

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Q: If yo is the particular solution of dy 4x y, y(0) = 3, dx find the value of yo(2).

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Q: The solution of the DE dy + (y – 1) dx =0

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Q: Find the general solution of the given Attached equation

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Q: Find the general solution using substitution of the following DE: 1.) (2x + y + 6) dx + (2x + y) dy…

A: To Determine: Find the general solution using substitution of the following DE:

Q: cos ax -dx = re¯ª,a>0. .2

A: With the help of Residue we can prove given result:

Q: Solve the first order inhomogeneous equation dy + 2y = 3x2 dx Hint:

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Q: 1. y = 5sin 3x*

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Q: (In x)² dx, .3 te ato u a ? and dy

A: Integratipn by parts problem

Q: Solve the following Bernoulli equation: dy dx = 4y-2 y?

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Q: dy du Find and 47 y%3Du and u=5x 2. 3x 司る

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Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: NOTE: Enter the exact answer. r3-y 5y dx dy

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Q: Determine the solution to this DE: * dy t 3y 2 2 dx

A: an integrating factor is a function that is chosen to facilitate the solving of a given equation…

Q: Solve the DE Coshx dy+(ysinhyte) de =c 3D0

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Q: NOTE: Enter the exact answer. (36–z² xy dy dx dz

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Q: e Given to 9. Ila,b)=)-0∞ 3(ax?)dx e

A: I could not find what to do after your steps. So I thought of a different process. I hope this…

Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

Q: 1 dy 8. 2 dx у +1 (сosx) ;У(п) — 0

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Q: Solve the following DE: a. (2x + 2y + 1)dx+ (x+ y-8) dy = 0 %3D

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Q: Show if the following statement is true or false. If it is true, write TRUE. If it is false, write…

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Q: Solve the DE (ey+1)cosx dx+eysinxdy=0

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Q: If x u(u – 1)2 and y = (3u - 1)², then what is the value of dy/dx

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Q: 2xdy + y(2 + xy²)dx = 0 %3D 1 when x = 1 & y= 2

A: Given equation is 2xdy+y(2+xy2)dx=0 and y(1)=1/2

Q: Use an appropriate " Bernoulli substitution" to solve: dy + XY 4X s Y(O) =2. %3D dx ya

A: In order to solve a bernoulli's differential equation, first we have to convert it into a linear…

Q: -x2 + 5 2. y = cos 2x³

A: Given: y=-x2+5cos2x3

Q: Solve the differenttal equat on 1y +dy_64=12x-50 Sin 2x dx? doe

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Q: хуз dx + e** ,3 dy = 0.

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Q: 1 dy 3 x*y3 y 4 dx

A: Given that    dy/dx -(3/x)y = x4y1/3  Here we have to solve the given differential equation.

Q: The general solution of the DE dx dy = cos?y is

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Q: Find the solution of the following: 2. e2x (2cosy dx - sinydy) = 0; y(0) = 0 %3D

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the solution of the following: 2. e2x(2cosy dx- sinydy) = 0; y(0) = 0 %3D

A: The given differential equation is e2x2cosydx-sinydy=0 It can be re-written as…

Q: Solve the Euler equation 2r dy 2.x dx? -3r given that y(1) =1 and y'(1) = 2. +3y 0 dx jntaios

A: To solve given differential equation first we write the auxiliary equation and find the roots and…

Q: Solve the given DE: dy e* – 2x cos y eу — хx2 sin y' dx ||

A: Differential equations is solved.

Q: Find dy/dx in terms of x and y if ax^2-by^5=c^2. Assume that a,b, and c are all constants.

A: Given equation is-  ax^2- by^5= c^2

Q: If y= cose* then dy dx 11

A: Solve the given

Q: NOTE: Enter the exact answer. yz dx dz dy = %3D -90

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Q: Given I = 4 In(t) and y= 16 t then find dy dx dy da?

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Q: Find the Product solutions of 2) du du - I dy dx +

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Q: Solve the following IVP: dy sin(z*)e %3D dx y(2) = V5 %3D

A: Use separation of variables method on dydx=sinx2ex3 dy=sinx2ex3dx Now integrate both sides without…

Q: Find the solution of the following IVP. * (ye)dx + (xe* + sin(y))dy = 0, y(0) = π

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Q: Given æ = 15 In(t) and y = 225 t² then find dy dx dy dx?

A: Given that       x = 15 ln(t)      and   y = 225t2 Here we have to find        dy/dx       and…