PLEASE SHOW COMPLETE SOLUTION AND SIMPLIFY THE ANSWER.   y'' - 10y' + 34y = 3x2 + x -1

Q: Solve for x and y. (3x + 4yj)(3 – 4j) = (2 + 4j)

A: Given equation is: (3x + 4yj)(3 – 4j) = (2 + 4j) We have to solve for x and y. Now we see, (3x +…

Q: Find general solutions 17. y" - 4y = -12x² + 6x-4; 18. y"+y+y = -13 sin(2x);

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Q: 2. (D² - 1)y = 2 1+ex

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Q: -dx х2-1 2,

A: we have to perform some mathematical operations to solve this, then using partial fraction to get…

Q: S √ + (25 +4z²)(z³ + 1)¹² dz

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Q: carctan3/2 3 sec x y dy dx

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Q: y'" — 7y' — бу = 0

A: Solution :- This higher order differential equation can be solved simply by using complementary…

Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: Please solve number 8. Show the complete details of your solution. Enclose your final answer.

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Q: – kz = 0, -z= 0, solution then

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Q: Solve for x and y. (3x + 4j)(4+ 3j) = 3e2)

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: SOLVE USING FIRST ORDER LINEAR DIFFRENTIAL EQUATION 1 y' -y=* 2 2

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: ues X=0,

A: Given,  F(x,y)=2x^2-4x+y^2-4y+1

Q: 6. [(2- tanxsecx) dx

A: The solution is given below

Q: (y' – 5y) = x?e* – x e5x

A: A detailed solution is given below

Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

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Q: Solve x2 + 10x – 7 = 0 Give your answers correct to 3 significant figures. Show your working…

A: For the quadratic equation, ax2+bx+c=0, the quadratic equation is given by:

Q: y' = = CSC x - y cotx

A: The standard equation of first-order linear differential equation is: dydx+Pxy=Qx The solution of…

Q: Kindly solve this without shortcut. Very complete solution. Thank you! (4x3 y – 15x2 – y )dx +(x4…

A: we have given the differential equation  4x3y-15x2-ydx+x4+3y2-xdy=0 we have to solve the given…

Q: a) Use variation of parameters to solve: ex' = *+[')- 2. tX' 13 -2. 2t

A: Since you asked two separate questions as per our guideline we solve only ine fir you and please…

Q: Obtain the general solution unless otherwise instructed 2. y - y' - x = 0 Ус = Ур y =

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Q: 3r5 dx V2 – x3

A: ∫un du = un+1n+1+C.

Q: solve: [Cax+3)*D²+6(2z+3)D +bJ y 18log (az+3) Answer 7 = fA cos (2243 alog caz+3) –4 +BBin/ x+3 22+3

A: It is an Cauchy Euler differential equation

Q: 7. S sec' x dx

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Q: 6. dy 2 y (1-√y) ²

A: Given integral ∫dyy(1-y)2 The objective is to evaluate the integral.

Q: Obtain the second solution of the given equation. (1–2x-x*) y"+2(1+x) y'-2 y=0; where y,=x+1

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Q: Suppose that y varies directly as x. When x is 9, y is 4. Solve for y when x is 72. (Enter an exact…

A: y varies directly as x. So y=kx

Q: Solve for x. 2(x +3)2-5 = 1 3 V3 No.Real Solutions 3. Botn A and B

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Q: Solve for x and y: x- 2y = 3 and 4x2 - 5xy = 3 - 6y

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Q: Use Separation of Variables to find a solution in the domain (-∞, 1] with h(1) = 0.

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Q: Solve dy りー1 り(-)ニ。 ニ ス+3

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Q: Use an appropriate substitution to solve the equation 9. and find the solution that satisfies y(1) =…

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Q: solve. y'−( 1/x) y = x^3, where x>0

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Q: Solve for x and y. x + yi = 3 e2j +4e-2j

A: Given complex number - x+iy = 3e2i+4e-2i             ...........(1)We know that,eiθ = cosθ+isinθ…

Q: 9. dx V25+x2

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Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

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Q: Solve the general solution y' + (cotx)y = XCSCX

A: Given:- y'+(cot(x))y=x csc(x) To find:- General solution of given differential equation

Q: x²- y2)dydx a.

A: Solution :-

Q: general solution of (D2-1)y=2/1+ex

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Q: 42. y" + 4y = sec² 2x

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Q: Solve for y when x is 30 degrees: y=2sinx

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Q: Obtain the general solution to the equation. dr +rtan 0=3 sec 0 de The general solution is r(0) =…

A: The given differential equation is                                   drdθ+r tan θ=3 sec θ

Q: Solve of the following equation 4 y' +y = x'y? Given by x In x – c -x In x + c Option 1 Option 2…

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Q: Use any method to solve the particular solution (D² + 9)y = 81x² + 14 cos 4x ; when x = 0 y = 0 y' =…

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Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

Q: (x² – 1)y' + 2y = (x + 1)² %3D

A: Given: x2-1y'+2y=x+12

Q: Solve the equations by variation of parameters. y" + 2y' + y = ex

A: y''+2y'+y=ex    ------------(1) reduced equation of equation (1) is  y''+2y'+y=0    -------------(2)…

Q: 5. (y-2)dx-(x-y-1)dy 0

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Q: dy - 2x + 5 y --(1) dx 2x+ y

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