Find the solution of (3x²y+ ev) dæ + (x³ + xe" – 2y) dy = 0 O 3z°y+ ze" – y² = C O z°y + re – y² = C O z°y + ze – 2y² = C O r°y + ye – y² = C

Q: Find the general solution  y ′ + 4ty = ty2 + t

A: Given differential equation is  y'+4ty=ty2+t to find the general solution of this equation

Q: Solve for the general solution: -4 Oy=a³e + co Oy=x³e +cª Oye +³ e* + c³ Oy=x³ee² + c xý – 4y = co e

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Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

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Q: I need an explanation Q3: a) Solve differential equation ý - 3y = e³x 12 x + 39 b) Consider the…

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Q: This is the solution of the Cauchy - Euler equation x²y" + 17xy' + 60y = 0 O y = C1x 5 + C2x 8 O y =…

A: Using method of Cauchy's Euler Equation

Q: What is the general solution of 2 (2y² + 5xy – 2y + 4) dæ + x (2x + 2y – 1) dy = 0 ? O 2z°y + r*y? -…

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Q: dy 3x-5y+13 5x-y+7 #1) dx

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Q: Find the Singular solution of z = px + qy – Vpq.

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Q: D) (3x² – 2y + e*+Y)dx + (e**y – 2x + 4)dy = 0 (Exact) E) (2xy*e" + 2xy³ + y)dx + (x²y*e" –x²y² –…

A: Let us consider the differential equation of the form Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x…

Q: a?y' + (y')² – 2æy = 0 where a = 2, y = 5, y = 2 %3D

A: The given differential equation is                            x2y''+(y')2-2xy'=0           Where…

Q: 2. Find the General Solutioh oG (əx -3y-2) dx-Cx-2y) dy =0

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Q: B. Find the general/particular solution of the given higher-order differential equatic 4.) 2- + 12 +…

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Q: -) Find the gereral solution uf y-3y'+2y= 4k2xe"

A: Given,          y''-3y'+2y = 4x2+2xex               (1)

Q: Solve the Ro liowing B E 2 X + 2 -zey= zX

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Q: where co= 1. Enter T= s) Find the solution of z²y" + 5ay + (4-4x)y=0, z> 0 of the form Cn= , n = 1,…

A: Given a differential equation and y1 is it's solution. ..then we doing derivative  of y1 and putting…

Q: 1. 2(2y²+ 5xy – 2y +4) dx +x(2x + 2y – 1)dy =0 ;y(1) =1 (NEDE)

A: ANSWER: The given differential equation is…

Q: Find the solution. (D³ –2D2 –5D +6)y =0; when x =0, y=1, y'= -7, y"= -1 A -e -3x + 2e2x B y = -e3* –…

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Q: Find the general Solution of 2y +4y=0 oy 25y= o づV

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Q: Find a particular solution to y" + 6/ + 9y = 3.5e 3. Yp =

A: Given thay  y"+6y'+9y=3.5e^(-3t) To fin the particular solution

Q: Find the general solution of y) + 3y(4) +y"'' + 3y"= 0. A. y = C1 + C2t + C3 cost + C4 sint + Cse 3t…

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Q: 4. Assume y(x) : = ea" cosBx is one of the solutions of the DE у3) — Зу" + 7у - 5у —D 0. Then a + B…

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Q: Find a particular solution to y" + 4y +3y = 19te.

A: Using the method of undetermined coefficients.

Q: Find the particular solution of y2dx + x(x+y) dy=0., when x=1, y=1. Let x=vy

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Q: 10y" + y" - 7y' + 2y = 0

A: differential equation

Q: 3- Find non-zedo solution ofs dy

A: we need to solve the given first order nonlinear differential equation. The given equation is…

Q: y" + 3y" – 4y' – 63y = 2sin²x

A: I attached 3 photo, kindly check it.  Thank you.

Q: Find a general solution to the DE using the method of undetermined coefficients. y" + 2y - 3y = 1 +…

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Q: (2² + a² ) dy |(x2 + a?) + 3y dx; a is constant

A: Given that, There is a non-exact and first order linear DE, (x2 + a2)dy = 2x[(x2 + a2)2 + 3y]dx,…

Q: Use the method of Variation of Parameters to solve y" -y' = t.

A: The given differential equation y'''-y'=t. We have to the differential equation using the method of…

Q: Consider the following difference equation of Riccati type −1. ― Yn+1Yn Yn+1 + 3yn = Find the…

A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4: