iven the supply equation 2q – 280p+ 2240 = 0 and the demand equation 260p+q – 5200 = 0, find the equilibriu

Q: Solve 2y'" + 9y' + 4y = 0, y(0) = 8, y'(0) = 14.5 %3D y(t) =

A: Given 2y"+9y'+4y=0 ; y(0)=8 ; y'(0)=-14.5 We need to solve the given differential equation.

Q: a) Solve (t3 + y³)dt – ty²dy = 0

A:

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

A: Exact differential equations

Q: Solve the IVP: y" + 4y' = x, y" (0) = 1, y'(0) = y(0) = 0. %3|

A: The solution is given as

Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

A:

Q: Solve using the method of undetermined coefficients y'' - y' + 1/4 y=3 + e^x/2

A:

Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

Q: y=Cie3x + C2e¯ 2x + x

A:

Q: Determine the r- and y-intercepts for h(x) = 6x – 42. Solve -7x – 8y = 1 for y.

A: Given: (a) h(x)=6x-42(b) -7x-8y=1

Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the…

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values…

Q: Solve for y in terms of x   xy=x-y x2 +y2= x+y 2x+y=8

A: Given: To solve for y in terms of xxy=x-y x2 +y2= x+y 2x+y=8

Q: Find a solution to the linear equation y=2x+6 by filling in the boxes with a valid value of x and y.

A:

Q: Solve  2x + 3y = 11 and  2x -  4y = - 25 And hence find the value of m for which y = mx + 3

A: The set of equations is given as, 2x+3y=11…………(i)2x-4y=-25………(ii) Apply Elimination Method, Subtract…

Q: Solve the IVP *y" – 2ty + 2y = 4t², t>0, y(1) = 1, y(1) = 5

A:

Q: The cost y (in $) to rent a 5-ft by 5-ft storage space for x months is given for two companies,…

A:

Q: Solve y''+ 4y = 8(t – 3), y(0) = y'(0) = 0

A:

Q: Solve y′′ + 16y = u4(t), y(0) = 1, y′(0) = 2

A: The solution are next step

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

A:

Q: (b) Solve 1 y +-y= 0, t> 0. t

A:

Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

Q: Solve the IVP. y' 4y(4-y), y(0) = 3 y3=

A:

Q: (ху+ усotx)dy — у(хdу+ ydx) 30

A: Given the differential equation             (xy+ycotx)dy-y(xdy+ydx)=0

Q: Solve 1- y"- 6y' + 9y 4e Ans. y Ce +c,xex+2x2er

A: Note: Since you have posted multiple independent questions, we will be solving only the first one…

Q: Solve: x dy -(3x+5y) + 15y = 0 and write your solution set as a single equation

A: Remember:1.if ax2+bx+c=0Then, x=-b±b2-4ac2a2. If y1 and y2 are general solutions of a differential…

Q: Find the solution of y − y = e2x , y(0) = 1.

A: Substitute value of the variable given in the equation. Then after calculation the value of other…

Q: A popular three-story dollhouse has a price-demand equation given by p=D(x)=207-0.8x and the…

A: The demand equation is: p=207-0.8x The supply equation is: p=0.2x+132

Q: /Solve the following equation ?- 4t+ 6y = t³ +1 dt2

A:

Q: Determine-for the implicit equation x2-10 y = 3x dy

A: We, differentiate both sides with respect to y. We use the product rule of differentiation which…

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

A:

Q: Solve the IVP: y" + y = 6(t – 2m), y(0) = 0, y (0) = 1.

A: y“+y=δt-2π

Q: 4. y' + 4y = x?

A: Given information: y' +4y=x2

Q: Solve the diffrential equation:

A:

Q: Solve in terms of t, u"""" + u"""' = 0.

A: Given the differential equation is u"""" + u"""' = 0.  Here the auxiliary equation is r8  + r7 = 0.

Q: Solve Hhe follaing notúel vale prodlems y's x+ 2e*", gl9) = 4.

A: Consider the initial value problem  y'=x+2ex−9,                  y9=4

Q: Solve y"-xy' - By = 0, x>0 A) y = e+ B) y = c,x* + C) y= + D) y =c,3r*+

A:

Q: 1. Solve for y. D B 420 C0y-4 8. Find MZBCD. 40

A:

Q: Solve y(t) +2 e 0. -2(t-1 (-ny(r)dr= e¬2t

A: Given equation is: yt+2∫0te-2t-τyτdτ=e-2t To solve this equation use Laplace transform. Apply…

Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

A:

Q: Solve the IVP: y'' - gy y(0) = 0, y'(0) = 0 {} 6 0 3

A:

Q: travels the 1500-mile flying distance bet airspeed of the plane (in mi/h) and the sp

A:

Q: Solve the following IVP. y" -2y' + y = t; y(0) = 1 ; y'(0) = 0

A:

Q: An initial population, p, of 1000 bacteria grows in number according to the equation 4t p(t) =…

A:

Q: 3. Solve, showing details: y₁ = 4y2 + 5e² y2 = -₁- 20e-t Y2 y1(0) = 1, y2(0) = 0

A:

Q: Solve the pollowing vyrtemr of equationN uring matricar a. ex tytz =4 X-24 +32=7 -3x tây-22=-10

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Q3/ A: Use the method of separation of variables to solve the equation x +1 y - y'e".u = 0

A:

Q: (y')3 – y*(y + xy') = 0

A: The given equation is, (y')3-y4(y+xy')Let, y'=pSo, the given equation reduces to,p3-xy4p-y5=0 ---(1)…

Q: The number of mirrors that will be produced at a given price can be predicted by the formula s =…

A: Solve tge following

Q: Solve of the following equation 4 y' +y = x³y2 Given by

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.