Solve: (2a? + y) dæ + (x²y – x) dy = 0 O 4x2 + 2y + xy? = Cx O 422 – 2y – cy? = Cx %3D O 42? + 2y – xy? = Cx O 4x? – 2y + xy² = Cx

Q: Solve: ()* +1 y In z 6x In a+ 2x = 9y + 36y + 18 In y + C O 6x* In z – 2x = 9y? + 36y + 18 In y+ C O…

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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: y(4) + 2y" = 2

A: Here we need to find the particular solution of given differential equation. The solution is…

Q: use the Lagrangian method to solve:   U=(x+3)(y+5) given 30=3x+2y

A: Given the relation 30=3x+2y. We need to minimize the value of U = (x+3)(y+5). Substitute the value…

Q: dy りー! り(-)ニ。 x+3 2, xy' =1+X ら(4)=0

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Q: d²y - y = у 3 10sin?x %3| dx2

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Q: fud General Solution dy-3y=

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Q: 3. Is y(x) = Cisin2x + C2cos2x, where Ci and C2 are arbitrary constants, a solution of y" + 4y = 0?…

A: Given, y''+4y=0 a second order differential equation. To show that y(x) = C1 sin 2x + C2 cos 2x is a…

Q: Solve: (16 y – 24a? y4) dæ = (32x³ y³ – 20x*yA – 6 sin 2y) dy - O 7x* y% – 5æ°y – 3 cos 2y = C - O…

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Q: 2. y() + 2y" - 2 А. 1 В. 2х C. x? D. ½ x?

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Q: Solve for x, y, z and w by Gauss elemination Method. Given: 12x-8y+6z+10w=26

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Q: 6. Find the solution of dy = (y² – y)x². dr

A: Definition used -          The solution of the variable separable differential equation-…

Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

A: We have to solve given problem:

Q: Find the solution of (2*y² – y) dx + (x²y* – x) dy = 0 o를 +를 - C O 3r°y + 2ry* – Czy = 6 %3D o +를 +금…

A: Please see the answer below

Q: Solve the first order equation (3r²y + 2ry)dz + (z³ + x² + 2y)dy = 0.

A: In the given question, the concept of the differential equation is applied. Differential Equation A…

Q: Solve (D2 – 2)y =0 O a. y = cqevZx + c2e¬vZx O b.y= "(c,cos/2x+ c,sin/2x) O c.y = cqevZx+czxe¬VZx O…

A: The equation D2-2y=0 represent y''-2y=0 . Consider the solution of the differential equation is in…

Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

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Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

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Q: Ex: FIND A COMPLETE SOLUTION OF EQ. y" + 3y" + 3y' + y = 0

A: The given differential equation is y'''+3y''+3y'+y=0. Find the complete solution of the differential…

Q: Solve for the particular solution of the non-homogeneous DE. 2y'' +y' = 3

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Q: - y" - 4y - 12y = e

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Q: 3. 2y" + у' - 3 А. 3 В. Зх C. 3x D. x?

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Q: (b) Solve y" + e*yf + (1 + x²)y = 0, %3D x = 0, if y(0) = 1; y'(0) = 0. %3D

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Q: 10. y"" + y" = 3 А. 3 В. Зх C. D. 3x?

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Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: Q5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª. (b) у" — 2у/ + 5у…

A: We are entitled to solve only one question at a time. As the specified one is not mentioned, So we…

Q: x²dx + y(x-1)dy = 0 %3D

A: We need to find solution of differential equation.

Q: 3) a) Solve:' 4x³y +4x?y(2)_ sxy'+2y=0 Co,0) on

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Q: Solve for PS: y"+7y'-8y=0;x=0,y=0,y'=1 O y=9e^-t-9e^-4t O y=1/3e^-t-1/3e^8t Oy=3e^t-3e^2t O…

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Q: 6. y" – 2y' = e* A. 2e В. -2е C. e D. -e

A: Given that the non-homogeneous differential equation is       y'' - 2y' = ex

Q: 2y" + y' = 3

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Q: Solve for the particular solution: dy + 를y3D -2°y"; y(-1) %3D2 dz

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Q: Obtain the general and particular solution 4. xydx + (x² + y²)dy = 0

A: The given problem is solved below in detail.

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

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Q: Solve by the addition method: 4x+5y+: 12 %3D 3D 2x-y+2: = 17 %3D x+2y+2= O A. (2, –1, 9) O B. (4,…

A: Given: The system if linear equation as  4x+5y+z=122x-y+2z=17x+2y+2z=11 To find: The solution of…

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

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Q: ) Find the general solution of the DE y = (2+y')x+ (y')².

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Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

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Q: Solve for the general solution xydx - (x² +2y² ) dy = 0 x² = 4y° In(2 ) xy = 4y° In() Option 1…

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Q: y" + 4y' + 3y = 12

A: here we need to find the particular solution of given differential equation. the solution is…

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: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A: We know,∫dxx=ln(x)   Given differential equation, ydx+(2x+3y)dy=0 ⇒dydx=-y2x+3y....(i)

Q: Solve xy'(x) + (x+ 1)y(x) = 3xe¯ O a. y(x) = 3xe 2 + Ce O b. y(x) = - 3 + ce 2 Oc. O C. y(x) =…

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Q: Solve (2x +1) dæ – (x + 3y + 2) dy = 0 %3D O (x +y+1) (4r – 6y + 1)° = C O (2+y - 1) (4x – by – 1)°…

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Q: Solve: (D² + 5DD' + 6D²)z = (y – 1)e* + sin(2x – 3y) + 3x + y, where D =- and ax D' = y = 2 ду

A: Given partial differential equation is, This is a homogeneous partial differential equation with…

Q: Solve for the DE of: y = C₁+C₂e7x O y'-+7y=0 Oy" - 7y¹ = 0 Oy'-7y=0 Oy" + 7y¹ = 0

A: The given equation is;  y=C1+C2e7x.

Q: Show that xy – 2 = cxy is a solution of (x² + y2 – x)dx – ydy = 0.

A: Given  x2+y2-xdx-ydy=0 dydx=x2+y2-xy