R V(In r) C.

Q: Solve for r: V = arh

A:

Q: Solve:3ln(r² –1)-In(t +1)?

A: Given: solve   Formulae used:

Q: Solve for y: Ax+ By= C

A:

Q: Solve for X,Y and Z:  3x + y − z = 11x + 3y = z + 13x + y − 3z = 11

A:

Q: Solve the two simultaneous equations to show how Q and P depend on u and v.

A: From given data we have; Demand:            Qd=β0+β1P+u ,Supply:            Qs=γ0+vMean:…

Q: 3. X+Y)/4=5Z

A:

Q: Solve S = 2πr(r + h) for h

A: Given:                 S = 2πr(r + h) for h     Solution:              Let's make h as the subject…

Q: Solve the problem. If v = -i - j, find |H. %3D O 2 01 00

A: Given  v=-i-j  To find  ||v||  Method   if v= xi+yj . then ||v|| =√(x2+y2)

Q: What is the general solution of 3 (3z + y') dz – 2zydy = 0?

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Q: Solve for b: z = cd 18

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Q: 2. Solve IVP y" – 4y' + 4y = 0; y(1) = 1, y'(1) = 1 Cind a general solution

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Q: Solve for i in terms of Ve, a, and d) V2=DV;²-2ad %3D

A: Do the mathematical operations for that.

Q: Az Solve j=1(a-3).where r and "a are constant.

A:

Q: 3. Solve for y. yo 11.2 I1.2

A: Let's find.

Q: Solve sz dz ; c:Iz-1|=1 C

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Q: Find the general solution. 4. (4D3 - 3D? + 1) y = 0

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Q: How many solutions does the equation e^−x^2 = x have?

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Q: Find the general solution og the differencial equation: CD-4D+3)y x + eex t x2

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Q: Solve for s in terms of r, t, and u. t = -rsu

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: {vñ – vn+1

A:

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 the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

A:

Q: Solve simultaneously for x and y2 + y= -2x-2x2+ 8xy + 42= y

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Q: Find the general solution Ans. y=(C1+C2x)eX+e*

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Q: solution for z(x, 0) = x², z(1,)

A:

Q: 8. Solve the IVP y" – 2y' + 2y = 0, y(0) = 2 and y'(0) = 0.

A: Solution is y= ex( 2cos x -2 sin x)

Q: Solve the IVP given below y" +4 y' +4 y=0, y(0) = 0, y'(0) = – 3.

A: Given y"+4y'+4y=0 ,y(0)=0 and y'(0)=-3

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given,…

Q: Solve for p. р — 12 3D 8 —5(р -2) || | - 3 В -13 p= 3 D 1/2 A,

A: Given P - 12 = 8 - 5 (P - 2)Here we solve for P

Q: x + y = 40 and 2x + 4y = 90  Need to solve for x and y

A:

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x 2, y = 1.

A: Given differential equation 2ydx=3xdy and when x=2,y=1 The objective is to find the general…

Q: 3 By using the first principles, differentiate (x)= 3 S'(x) = %3D Answer: 2x2

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Q: 42. Solve the equation y(x) 1 + 2 efo(x=6) y(5) dž, considering separately all exceptional cases.

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Q: Show that the equations xp – 4yq = 0 and (32 + 2 +1)(p+q)=x°(x+4y) are compatible and solve them.

A: 1. Two partial differential equations of first order are said to be compatible if they have a common…

Q: Solve for x and y:                                     ax + by = a – b and bx – ay = a + b

A: given:

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 for ri 4T [r-r? (R?-rz)-Y (R2-ド2)%] =0 %3D

A: A quartic equation can be solved by converting it into a quadratic equation by substituting the…

Q: 3 Find the general solution of x = Ax, where A

A: we need to find all eigenvalues and eigenvectors for the coefficient matrix

Q: Solve for the value of v. 105° (8v+3)°,

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Q: Solve the IVP: y" + y' = 0 y(n) = 0, y'(1) = 2, y'"(n) = -1

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Q: Solve for r. %3D E C 1 2. 2.

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Q: Solve for u u/5+4=u/4 Simplify your answer as much as possible

A: Given Here, the least common denominator is 20, so multiply each term by 20, so we get

Q: V1-? (c) J, 2-지 de

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. ( : Solve the IVP: r²y" = (y)², y(1) = 1, y'(1) = 1.

A: A differential equation with an initial condition is called an initial value problem. The initial…

Q: Solve A = ab + d (a + c) for d                            2

A:

Q: Find the general and the particular solution: d²u du = 4(1 + 3v)²; u = -1,and = -2 when v = -1 dv²…

A:

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.