Find Solution AUP : gruen xlo)=2 4 %3D - -3

Q: dy 4x2-х-2 : У(1) %3D 1 dx (х+1)(у+1)

A: Explained below

Q: 2x(y+1)dx-ydy=0

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: SHOW THE SOLUTION OF: 25 - 2xy dy CHOICES: A.) y = x'(x+c) B.) y = x(x+c)? C.) y = x(x+c) D.) y =…

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Q: Solve the following using exact equation or linear whichever is applicable. (x + y) dx + (x − y) dy…

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Q: xarctanydx + dy = 0 2(1+ y²)

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Q: d²y - y = у 3 10sin?x %3| dx2

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Q: Use separation of variables to find an explicit solution. xyy' = 2xy² + y² %3D

A: Follow the steps below to solve a differential equation by the variable separation method. First,…

Q: dy-Hy-5 te %3D xp

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Q: y" + 36y = 24 sec(6t). Yp

A: This question is related to differential equation for that question the complete solution will be in…

Q: Let y(x) be the solution for the DE : y = (x + y – 1)2 If y(0) = 1, thenfind y(4)

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Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution.

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Q: 3. Solve the DE ty' + 2y = ont, 4. Solve dy dr 1+ y?

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Q: 2. JO (y+5) dy (y-3)

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Q: Obtain the general solution. 1. y' = xy?

A: We will find out the required general solution.

Q: Solve the following equation by using separation variable method: y(x,0)=10 1>0 0<r<A y.(0,1)= y,…

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Q: Solve for h: rh 22. Then rewrite 2ar? + 2arh in terms %3D of r.

A: Given πr2h=22value of  h⇒h=22πr2

Q: Using the variation of parameters, find the particular solution of (D2 +1)y = secx

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Q: (S+2) (s?+u] solve by using partial straction

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Q: What is the specific value of x and y in the diophantine equation 17x + 23y = 157?

A: In this question we have to find value of x and y in Diophantine equation,

Q: dy 1 3x? 1. %3D xp 1+ X' 1+ X?

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Q: e-SP(x) dx Y2 = Y(x) (5) as instructed, to find a second solution y,(x). y" + 2y' + y = 0; y, = xe*…

A: We will find out the required value.

Q: (D² + 1)y = sec² x csc x X cSC X

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Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

Q: Find the complete solution of (x?y +y³ – y)dx + (x³ + xy² + x)dy = 0 Hint: Expand and Simplify

A: Hey, since there are multiple question posted, we will answer the first question. If you want any…

Q: Solve the equation ru, + (x + y)uy = 1 %3D on dof:

A: In this question, we solve the partial differential equation by using characteristic method.

Q: The solution of DE.s divided into complementary solution and particular solution. * O True False

A: Consider a nth order differential equation dnydxn+dn-1ydxn-1+dn-2ydxn-2+.........................+y…

Q: The solution of the DE (1+ cot²x)y' = cscx coty is

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Q: Mxy'+ (1-x)y xe* %3D

A: The general form of linear differential equation of first order is,    dydx+Py=Q…

Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: Solve for the particular solution: dy = y + Vr2 – y?, y(2) = 0 %3D - da

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Q: (х — 2у)dx + (у — х)dy %3D C

A: Given differential equation x-2ydx+y-xdy=0 It is of the form Mdx+Ndy=0 Here, M=x-2y and N=y-x…

Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

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Q: Solve the initial value problem. d?y = 6-30x, y'(0) = 8, and y(0) = 4 dx? %3D y(x) = |

A: According to question,Given differential equation,d2ydx2 = 6-30x,y'0 = 8y0 =4

Q: ydæ + (x'y4 – 3æ) dy = 0

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Q: Find a particular solution to y" + 16y = 24 sec(4t). Yp |

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Q: If ZX = 16 units and VW = 6 units, then solve for UW. Show your work and explain the steps %3D you…

A: Topic = Circle  UW = 10

Q: dy %3D dx = (9x + 4y + 1)?

A: The given equation is, dydx=9x+4y+12                     .........1 Let 9x+4y+1=v…

Q: Roughly sketch into the plot the solution that corresponds to m(0) = 0 mg. %3D

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Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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Q: (х5 + Зу) dx — х dуy %3D 0

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

Q: (x² – 1)y" + 2y' – (x – 1)(x + 1)² = 0

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Q: Use separation of variables to find an explicit solution. xyy' = 2xy 2 2 + y?

A: using seperation of variables  and then integrate....

Q: Qi) Solve the following PDES by direct integration. 2) = 0 дх ду 3) = x?y %3D дх ду dxdy azu -2t and…

A: Solve PDE by direct integration.  According to guidelines we solve only first question.

Q: let y"(x) + y(x) = 0 be given What would be a suitable solution y(x)?

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Q: 2ste-tds + (s²e-t – t)dt = 0

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Q: and solve the equation + (4.ry – e v) dy = 0. | constant

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Q: Which of the following is a solution to xy' + y + x*y*e* = 0 ?

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: y™ -2y = 0 %3D

A: Given the differential equation y''''' - 2y'''' = 0. Auxiliary equation is m5 - 2m4 = 0

Q: Obtain the general solution valid near the origin: 8x?y" +10xy' -(1+x)y=0

A: Power series solution of the differential equation