11. (D- D)y = 0.

Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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Q: xy^2y'=x^3+y^3 Bernoulli Equation Answer is y^3 = 3x^3 (lnx +c)

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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Find the particular solution of (y + Vx² + y²)dx – xdy; when x = v3, y = 1

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Q: O': what is the general solution of the equation. dy dr xy

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Q: dy - y = e2*y³ dx

A: Let's Solve,

Q: Find the solution. y'• ty ty" © y- (1-c, y- - (1-co")

A: We have to solve y'+ty=ty3 This can be written as: y'+ty=ty3⇒1y3y'+tyy3=t⇒1y3y'+ty2=t⇒1y3dydt+ty2=t…

Q: A. Find the general solution of y" = 12x². dy B. Solve for y F dx - 4 x²-1

A: The given differential equations A) y''=12x2 B) dydx=4x2-1 use the integration formulas,…

Q: 4 Solve for the general Solution : 3x²ydx + (y* – x³)dy – 0 Select the correct response: ,3 4. O x°…

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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: Find the general solution using variation of parameters. y" – 4y + 4y = (x + 1)e²"

A: Given differential equation is, y"-4y'+4y=x+1e2x The auxiliary equation is, m2-4m+4=0m-22=0m=2,2…

Q: se the method of variation of parameters to determine a particular solution to the given equation.…

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Q: Find the general solution of the equation: 8² u dy² = e²+y

A: Given partial differential equation is ∂2u∂y2=ex+y......1. We have to find the general solution of…

Q: Find the particular solution of -4y = 3x – 1 given that when x=0, y=0 and d2x dx dx II

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Q: Solve for the solution of this D.E. y''' + 2y'' - 5y'-6y=0 Which has values of y=3, y'=6. y''=12…

A: Now , we have a homogenous differential equation . y'''+2y''-5y'-6y=0y(0)=3y'(0)=6y''(0)=12 We find…

Q: x+y-4) dx-(3x-y-4)dy=0; when x=4, y=1 Solve using Coefficient linear in the two variables

A: ( x+y -4)dx-(3x-y-4) dy = 0 , x=4                                                               y…

Q: (a) Solve y" + xy + (2r – 1)y = 0, %3D near z = -1, if y(-1) = 2; y'(-1) = -2.

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Q: Q2: solve the equation dx 2x dy y y 3.

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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: (c) Solve the difference equation Yt+2 – 4YŁ+1 + 4Y; = 2(2*) + t² - Given initial values Y, = 2 and…

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Q: G) (2x-yJdx + (4x. +y-3)dy=

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Q: dw 4w A) Give the general solution of dx = x³. B) Solve y' + = y²x³.

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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: Q(4) Find the general solution of dy =(r- y+ 5). dr

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Q: Find the general solution to  y''+ y' = 1 + 2sin(2t)

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Q: nd the general solution to: 2yy -e^ = 0, |

A: The question is taken from the calculus in which we have to find  the general solution of  given…

Q: 1. Find the general solution using variation of parameters. y" – 4y + 4y = (x +1)e²r

A: Solve by using variation of parameters.

Q: Find the particular solution: y" + 16y' = 0, when x = 0, y = 0, y' = 0, y" = 1

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Q: Q1: using variation of parameters to solve: * y"' – 2y" – 21y' – 18y = 3 + 4e-t %3D

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Q: Use variation of parameters to solve the general solution 1 (D² – 3D + 2)y 1+ e¬*

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Q: A.) solve for x and y : ( x+ jy)2 =(2+j4)

A: Given: x+jy2=2+j4 To Find: To solve the given equation for x and y

Q: The solution of D.E " -y = 5(t – 1) ,y(0) = 0,y'(0) = 0

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Q: A. y– 2y +1 = (x + 1)e²x

A: To solve the given differential equation using method of variation of parameters.

Q: Q(2) Find the general solution of (2r2 + y)dr + (x2y-r)dy 0.

A: Solve the differential equations using exact differential equation method

Q: Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1

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Q: Q(5) Find the general solution of (r+2y- 4)dr - (2r +y- 5)dy = 0.

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Q: Q2. Find general solution of the DE 4y" + 4y" + y' = 0

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Q: dy Find the general solution of xy + y² dr x2

A: According to our guideline, we can solve only first question of multiple question.So, here we solve…

Q: Obtain the general solution unless otherwise instructed a.) (9D4 + 6D3 + D2)y = 0 b.) (4D4 − 45D2…

A: (a) Consider the given equation. 9D4+6D3+D2y=0 Convert the equation into the characteristic equation…

Q: 3. Solve using the method of variation of parameters 1 y" + 3y' + 2y 1+ e*

A: First I have find the auxiliary equation and using it find the complementary function and then by…

Q: Solve this equation y"+ 2y + 2y = e-t where y(0) = 0 and y'(0) = 0? %3D

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Q: Solve using the method of variation of parameters y" + 3y' + 2y =: 1+ e*

A: Given that: y''+3y'+2y=11+ex

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. 8 y'…

A: Given Data: Differential Equation: y'=8x+6x4-2x6 ......1 Initial condition: y1=8

Q: Find the general solution of the equation 4y'' + 4y' + y = e-t/2

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Q: 4. Solve y"- 4y' +3y = 1 by variation of parameters. %3D 1+e-*

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Q: Solve the DE by Variation of Parameters (D³ + D² – 2D) y (0) = 0.4, y' (0) = –0.4, y" (0) = -0.4

A: The Symbolic form of the equation is D3+D2-2Dy  =4e-2xcos x Auxiliary  equation is D3+D2-2D=0…

Q: Apply Variation of Parameters to find the general solution. e* у"- 2у'+ у 3 1+x?

A: Given y''-2y'+y=ex1+x2