Q3/ i& it was 2y-2x=0 di fferenitul equation, its solution is. O zy -x²+e のy-x2= e %3D ® zy+x²=e + x² =e (3 other

Q: General solution of 2xydx+y^2dy=0

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

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Q: 11. Find the particular solution of 2ydx = 3xdy, when x -2, y = 1

A: Given : Differential equation :  2ydx = 3xdy And x = -2, y = 1   To find : Particular solution of…

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

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Q: Find the general solution of the DE: y"+y' + 2y = 0

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Q: Find a particular solution to y" + 4y' + 3y = -16te²".

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Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

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Q: y'-5y=x'e* – xe³* - хе

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Q: ) Obtain the general solution of y" + 2y + y = e² In r

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

Q: Find the general solution of (T^2 + 4)y' + 2ty = t^2 (t^2 + 4) with the variation of parameters…

A: In this question, we find the general solution of (t2+4)y'+2ty=t2(t2+4) with the variation of…

Q: Find general solution of " – y – 2y = e2t

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Q: Find the solution of y"-y'-6y = -e* +12x with y(0)=1, y'(0)=-2 by method of undetermined…

A: The Auxiliary equation is D2-D-6=0 Solve for D  D2-3D+2D-6=0DD-3+2D-3=0D-3D+2=0D=3,-2 Therefore, the…

Q: yV + 2y" + y" = re=*

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Q: Solve second order DE y" - 4y' + 4 = 0

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Q: Find the General Solution: y" - 3y' + 2y =e*

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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: Find a second solution to 4x²y" +y = 0, given one solution y1(x) = x!/² In x.

A: Given differential equation 4x2y''+y=0.....1 And given one solution is y1x=x12lnx Equation (1) can…

Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

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Q: Find the general solution of (xy² + x²)dy + a. 3xy + y3 = C b. 3xy - y3 = C xydx = 0 с. -Зху - уз с…

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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: 2xyy' 1+ y2 What is the general solution?

A: The solution is given as

Q: Find the general solution y" – 6y'+9y=x*e*

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Q: When solving S3x – 2y = 5 ly = 3x – 3 by the substitution method, we obtain x = , so the solution…

A: Given equations are: 3x-2y=5......(1)y=3x-3......(2) Get the value of 3x from the equation (1)…

Q: Q1: Solve the second order linear homogenous equation: y" – 2ky' + 4y = 0 k > 2 -

A: According to our guideline we can only answer first question and rest can be reposted.

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

A: To solve the following problem

Q: 4 Solve y" – y" – y' + y = 2e¬t + te' + 3 by using both the method of undetermined coefficients and…

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Q: Find general solution of the difference equation Yn+2 + 6yn+1+9yn = n 2" +7, by method of…

A: Given:  The given difference equation yn+2+6yn+1+9yn=n2n+7

Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: Find the particular solution y''-2y'-3y=0; when x=0, y=0, y'=-4

A: It is given that the differential equation  y''-2y'-3y=0,  y0=0 and y'(0)=-4     The given…

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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

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Q: 2. Find the general solution of y' = eY(4x – 2). %3D |

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Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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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: The particular solution (yp) of the equation y" - 3y + 2y = 5 e* is yp = -5xe*

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

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Q: 4. Solve Ar, = 3n2 + 4n - 1 with the initial condition r = 3. %3D

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Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

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Q: Find the solution. y' = 5y + e2x y-2, y(0) = 2 13e-15x + 3e2x )1/3 A y = 23 139e 15x – 3e -2x )1/3…

A: Giving differential equation is  y'=5y+e-2xy-2 , y(0)=2

Q: Q2/ Show that y =e2x + e-3x is the solution to the y"+ y' - 6y = 0

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Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

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Q: Find the general solution of (x³ + 2y4)y' = 3yx² in implicit form f(x, y) = c. When y(0) = 1, what…

A: We have to solve the differential equation

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: 4. Solve (x-2)y" - (4x-7)y' + (4x-6)y= 0, if y₁ = e2x is one known solution? HO The Cystem 2e²t

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

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Q: Use variation of parameters d²y +pdty+94=Fx) plem) to find a particular solution to y" – 2y - 15y =…

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Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1

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

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