What is the general solution of zyda - (2 +3y) dy = 0 ? O a + oy In y Cy og In y = C 6y Iny cy? Quiz sav

Q: Solve the general solution of the given DE: dyldx = (2y/x) + (3x/2y).* %3D

A: Suppose any linear differential equation can be written in the form of  dydx=fyx then it is a…

Q: Find the Ye neral solution of the eguation. 6y"_5y_4 y =o %3D

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Q: Find the most general antiderivative. O se3x + 9eX + c 3 e 3x + 9eX +C Z3x - 9e* + C 7 e 1 3x ex. +

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Q: Find the general solution to the given DE x²y" – 3xy' + 4y =x?Inx, x>0.

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Q: What is the general solution of - 19 + 30 = 0 ? dt Oy = Ce + Cze + C3 cos v5 z + C4 sin 5z Oy =…

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Q: The solution of y = eY 2* , y(0) = In(In(2)) is y= In(In(2)) - In(2 -2*). Select one: O True O False

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Q: Find the general dafferential equatron (t) t 36y () - o lol00lution of the general solution y Co) =…

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Q: What is the general solution of rydx (2² + 3y²) dy = 0 ? %3D 6y² In y = C O + 6y² In y = Cy² %3D

A: Given: xydx-(x2+3y2)dy=0

Q: y' + 2x³y = 0 diferansiyel denkleminin çözümü aşa Lütfen birini seçin: a.

A: It is evident that we need to find the solution to the integral. Note: Kindly post questions in…

Q: 3 pts What is the general solution of ( + s) dr + s? (3r + ks) ds = 0 where k is a constat . 4rs + +…

A: Differntial equations

Q: Evaluate SSS 7e(=²+y²+z?)*² dV over B where B = {(x, Y, z) : x² + y² + z² < 1}. Take T = 3. Turkcen.…

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Q: Find the general solution of the given variable separable egm atim. dy *+ ay? (2) %3D

A: Given :dydx=e3x2+4y2

Q: What is the general solution of (2xy + y) dr + (r? - r) dy = 0? %3D C(z 1) * y = Cr(z - 1) * O y =…

A: Given differential equation is variable separable differential equation of first order. We will…

Q: D. Verify if The relatum O y= xe' y= eco{ 2x) is a soluhon to yl-Gy'+13y=D0 is a solution to yl -…

A: For verification of the solution will find the respective derivative and substitute into the…

Q: Modify the method of Cauchy-Euler DEQ to find a general solution to the following DEQ for t > 2 (t –…

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Q: uppose j = ce (:) + 2etz 2 1 5x cze# ) 1 4x is the general solution to y = Aỹ %3D 1 What is A ? 1

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Q: The Wronskian of the two solutions of t*y" – 2t³y' – t®y = 0 is ct?. Select one: O True O False

A: We have to find wronskin

Q: What is the general solution of the DE x y^2 dx + x^2 y dy = 0 ? * O x^2 y = C O x y^2 = C O xy = C…

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Q: The general solution of the DE: ZV=1 is y=x(x+ c) Select one: O True False

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Q: Is y = cīt + cf is the solution to y" – 12y = 0? Prove it

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Q: If the solution of the follo wing initial value problem is yo), find yC5) 5xy'-5y= 8X y (1) = 4 %3D…

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Q: B. Verify if the relatin O y= xe is a səlution to yl-2y'ty =o. y = eco( 2x) is a solution to…

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Q: What is the particular solution of (3y + 10zy?) da + (6xy - 2 + 10æ²y) dy = 0 when x = 1 and y O 3x…

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Q: Let f(x,y) = C be the solution of the DE 2e3cos(vin(x)dx-3xsin(y)e3cos(in(x))-dy%3D0, where (x,y)…

A: We need to find value of C.

Q: 1. Evaluate ff. y dS where S is the portion of the cylinder 4x2 + 2y2 = 16 that lies between z = 0…

A: Since you have asked for a question with multiple sub-parts, we will solve the first question for…

Q: Determine the general solution of (s +t?) ds +st dt = 0. 82+2t2 O+2s2 %3D = C O s4 +2s2t2 = C

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Q: Find the particular solution of the DE x?dx +ydy =0, when x = 2, y 1. O 2x3 + 3y2 = 19 O 2y + 3x2 =…

A: Given, differential equation,x2dx + ydy = 0Integrating on both sides, we get∫x2dx + ∫ydy = Cx33 +…

Q: Find the particular solutiona by inspection . Cpg4)y=と"43x Cp*+4>y = 8x +1 - 1se C 4D° + 4D+)y = te*…

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Q: Show that u(x, y) = y²e* + 3x² is the solution for u = yuyy + 6x . 2

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Q: A solution to the DE ydx-xdy=0 is A B C D xy=C x = Cy none of these x=y=C

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Q: Find the gene ral solution of the following DESI XY +y² - x? y' = o %3D

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Q: Which of the following is not a solution to d'y dr? 4y +1 -2z O y = e2 + e O y = e2 . -2x e - 1 O y=…

A: we have to solve

Q: 20 Given that the (bx) +(ay) =(ab), where a and b are constants. Show that-

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Q: dy + ydx %3D = 3x²y?dx,

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Q: Given DE Cauchy-Euler xy +2y= Inx, x>0 what is the particular solution?? I. II. IV. Select one: O a.…

A: a. Given equation is  x2y''+2y=lnx Let x=et. Then differentiating w.r.t x,  etdtdx=1dtdx=e-t Now,…

Q: The general solution to 6y dy -y =0 is da2 da O y = ce-3e + cze2a Oy = cje +cze y = C1e O y = cie 3…

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Q: 7. Find the general solution of (vey – 2y³) dx + (xe – 6xy2 – 2y) dy = 0 A. e*Y + 2xy - y? = C B. ey…

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*)…

A: we have to find the solution of  given differential equation.

Q: The Wronskian of the two solutions of t*y" – 2t³y' – t®y=0 is ct?. - Select one: True O False

A: Given differential equation is  t4y" - 2t3y' - t8y = 0

Q: 1 EVA LUATE ECs) OF THE DIFF ARD 4(0)-0. dy dt² dt

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Q: 2) Obtain a particular solution for d*y d?y dy + +y = x³ + 2x +1 dx4

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Q: - general solution for the Euler DE x²y• - 3xy +6y=D Cy=Cxcos(/2 Inx) + c2xsin(/ZInx). a y= Cx+…

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Q: What is the particular solution of (3y2 + 10zy²) dz + (6zy 2+ 10y) dy = 0 when a = 1 and y 2 ? Sry +…

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Q: What is the general solution of xydx (a? + 3y²) dy = 0 ? - + 6y? In y = Cy² 6ylny = cy? O 2? 6y? In…

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Q: Find the general solution to the exact DE A y In yle"+ 2- eot y-3y-C O yla e"+ 2+ oot y-y C © y…

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Q: What is the general solution of xydx (22 + 3y2) dy = 0 ? - %3D 22 + 6y2 In y = Cy? %3D Gylny = cy?…

A: To find  The general solution of the given differential equation.

Q: What is the general solution of xydx (22 + 3y?) dy = 0 ? - 6y² In y = C 2 + 6y? In y = Cy? 6ylny cy?…

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Q: ydx + x(Inx - lIny - 1) dy = 0, when x = 1, y = e %3D

A: Given :     ydx+xlnx-lny-1dy=0,        when x = 1 , y = e that means y1=e

Q: 3. Find the genesral Solution: y* 5y^ +3y' -ay=

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Q: Prove that eª (x – 1) = + +c is a solution to xy dx + (y+ 1)e¯ªdy = 0. 2y?

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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.