Using the dual, solve the following L. P. P.: Мах. : Zp = 3x1 – 2.x2 %3D S. t. : X1 + x2 55 -X2 S-1 and x1, x2 20.

Q: Solve for r: V = arh

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Q: How many solutions does the equation e-x2=x have?

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Q: 3. Solve, using the method of variation of parameters: y" + 4y' = sec 2x

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Q: Solve using the method of undetermined coefficients: x" – x' = te*;x(0) = 2,x'(0) = 1 %3| -

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Q: () = (5y – 2x) y' – 2y = 0; y %3D | 4 II

A: Exact differential equations

Q: -x + y + 3z = 0 x + 5y + z = 8

A: here i am providing sol.

Q: 1. S, V4– x²dx. -2

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: Obtain the general solution to the equation.

A: dydx=yx+5x+9dydx-yx=5x+9Integrating factor If=e∫-1x dx                                =e-ln x…

Q: 5. Solve, using the method of variation of parameters: a²y" – 2ry + 2y = x*e*

A: x2y'' -2xy' +2y =x4ex To solve: Using method of variation of parameters.

Q: Solve for the value of x, and x, using Gauss-Jordan Elim. x,-5x, =-4 7x, – x, = 6

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Q: Solve, using the method of variation of parameters: et y" – 2y' + y =: 1+x²

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Q: · y" = 4

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Q: (y' – 5y) = x?e* – x e5x

A: A detailed solution is given below

Q: T. Те 20х10- лх107, (15× 10* 5x10°15 х 10-12

A: π×107 = TceTc20×10-125×10715×10-12 π×107 = TceTc20×10-127.5×10-4 Note: 5×10715×10-12 = 7.5×10-4

Q: 1. Solve, using the substitution u = y': y" = 1+ (y/)?

A: Solution of differential equation

Q: 2ty t²+1 – 2t – (2 – In(t² + 1))y'

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Q: Find the general solution and particular solution

A: We can solve this using substitution method of differential equation

Q: Solve  formula for the specified variable.S =C/1 - r for r

A: Consider the provided expression, S=C1-r   for r Now, the formula for specified variable.

Q: 3y = 3xy' + y'3

A: Solution: Here 3y=3xy'+y'3 Divide both sides by 3 y=xy'+13y'3   ......(1) Let dydx=P Then from…

Q: Solve the equation using Gauss Seidel's method until 5 iterations. 5x₁ - x₂ + 2x3 = 12 3x₁ + 8x₂ -…

A: Given: The system of linear equations, 5x1-x2+2x3=123x1+8x2-2x3=25x1+x2+4x3=6 To find: Solve the…

Q: Given:

A: Given, F→(x, y, z)=xy, x2, z2 and C  is the positively oriented curve that is the intersection of…

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: Solve the equation by determination method: Inx + ev + tanz = 3 .. (1) 2lnx + 4tanz = 5+ e - (2) 3ey…

A: here in question, every variable is in form of ln, tan, and e so by determination method solving…

Q: Solve the following equations  by the method of undeterminedcoefficients. y" + y = 2x + 3ex

A: The given differential equation is y''+y=2x+3ex. Its auxiliary equation is m2+1=0. Solve as follows.…

Q: Solve for s in terms of t and u. u = S =

A: Explained below

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +…

Q: Solve using the method of variation of parameters 1 у" + Зу' + 2у 1+ e*

A: Using method of variation of parameters

Q: Solve the given DE using 3 possible solutions: x³-2y³ 3.xy-2 ||

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Q: 9. If TV = 74 and WV = 4x + 1, solve for x. T U W S V

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Q: Solve the equation by determination method: Inx + ey + tanz = 3 ... (1) 2lnx + 4tanz = 5+ ev (2) 3ey…

A: Put a=lnx,b=ey,c=tanz to get: a+b+c=3...(i)2a+4c=5+b2a-b+4c=5...(ii)3b+2=5c3b-5c=-2...(iii)…

Q: Reduction of Orders 7.y" – 4y' + 4y = 10xe2x %3D

A: Note:- As per our guidelines, we can answer the first problem of these problems. Please resubmit…

Q: Find the exact solution.

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Q: solve the equation by Newton -Raphson Method: F(x) = x* – 5x³ + 65 , start at x =2, accuracy =0.001

A: Newton-Raphson method :

Q: A plane flying the 3922-mile trip from City A to City B has a 30-mph tailwind. The flight's point of…

A: Formulate equation and then solve by the process shown below.

Q: The Ideal Gas Law is given by the equation: PV = nRT Where: P = pressure V = volume n = moles T =…

A: We have to solve

Q: Solve, using the method of variation of parameters: et y" – 2y' + y = - 1+x²

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Q: Solve for x  X-Y+Z=A

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Q: Solve for the specified variable. V: 2 zrh, for h 3.

A: V=23πr2h

Q: Use an appropriate substitution to solve the equation y --y y4 and find the solution that satisfies…

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Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: Solve for x -1 logs : %3D 3 243 O V5 No Solution

A: Use logarithmic identity:-  (i)  logaa = 1 (ii) bloga = logab

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. ye2xdx = (4 + e2x)dy

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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: Solve the following: 3 4 r16 1+Vt -dt

A: To solve the given definite integral

Q: find the general solution of the equation:

A: Given 1+x2y'+y2+xy=1

Q: コ-13 3n Sna 5n7 =

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Q: Solve Q.!] by Using Variation of Parameters method : 49+36 y = csc (3×).

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Q: Solve using method of undetermined coefficients (D²- 2D+2)y 24 e s in 3X %3D

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Q: A chemist has three solutions that contain a 10%,30%, and 50%, respectively, of a certain acid. He…

A: Let the solution having 10% acid is taken x liters , solution having 30% acid is taken y liters and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.