3 9 dx dt -1 -3 [:] 2 with a (0) = 4

Q: 3. Form the partial differential equation by eliminating the arbitrary constants a and b from z = ď²…

A:

Q: dx dy at z = - 5 if y = 3x-3 and dt Find -1. dt dx dt

A:

Q: Consider a disease where immunity is lost. On average, after n days, a recovered person becomes…

A: Let t be the time ,which is an independent variable (measured in days). We have to take two related…

Q: Evaluate the integrals

A: To evaluate the integral I=∫0π/4∫0ln sec v∫-∞2t ex dx dt dv   tvx - space

Q: Can i get help step by step please

A:

Q: Write down a differential equation of the form dt all other solutions diverge from y = 4 as t →∞.…

A: Let us consider a differential equation dydt=ay+b  such that the solution diverges as t→∞, y=C The…

Q: 1-dt 3- Ln(t) dt. Q10:- Calculate dx J2x t2

A: Use fundamental  theorem of calculus

Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

A:

Q: Solve the differential equation using Laplace transform of y"+y=6sin2t ; when y(0)=3 and y'(0)=1

A: The given differential equation is…

Q: A solution to the partial differential equation. 9. is dy?

A:

Q: 2 max f (2х + и)dte dx - 5 — и?, x (0) 3D1,x(2) freet dt

A: Given: maxf=∫02(2x+u)dt dxdt=5-u2,     x(0)=1,      x(2).free

Q: | t sin(2t) dt 1.

A:

Q: 5 sin“(3t) dt

A:

Q: 2. Using Euler's method with N = 8 and 10. dx/dt = 1 + tsin(tx), x(0) = 0

A: Given dxdt=1+tsintx  and x(0)=0 and N=8, N=10

Q: 4) y' %3D 2ху — х

A:

Q: 15 dy dt 2-

A:

Q: find dx/dt at x=1 if y=3x^2+3 and dy/dt=1

A:

Q: D. Solve the differential equation using Loaplace transform of y" + y = 6sin 2t ; when y(0) = 3 and…

A:

Q: 5. x- + Px = sin t %3D dt

A:

Q: 1. Find the total differential of the ff. at (1, -2).

A: The given function is f(x,y)=xy2-3y+2

Q: (ylny-exy)dx + ( + xlny) dy = 0

A:

Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

A:

Q: 1. Find the dy/dx of (2 Points) OY OY- 30"

A:

Q: x²y' + 2xy = In x, У(1) 3D 2

A:

Q: Find dy/dx at the given point 6x2-5y3=2x-5y at (0,1)

A: First differentiate the equation and then substitute the value of x as 0 and y as 1.

Q: -32e* – 140 -dx J e2x +9e* + 20

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: b) y = [ dx Integrate. 13 +5

A:

Q: tan(4x + 8). Find the differential dy when x = Let y 1 and dæx 0.3 Find the differential dy when x =…

A: In the given question we have to find dy of the function at both of the given value.

Q: 5. The integrating factor of the di equation 2y dx + (x- x^3 y^3) O x*3 y^2 O Does not exist

A:

Q: -5 1 -dx Jo 2x+4 1 dt 2 V6-t 1 ii) S,

A:

Q: Can i get help step by step please

A:

Q: The order and degree of the partial differential equation respectively 6 9. dz + sin x xy is ду О…

A: Consider the given partial differential equation. Order of the partial differential equation is the…

Q: What is the differential equation of the orthogonal trajectories of x3 = Cy?? (1) 3xdx + 2ydy = 0…

A: Given x3 = Cy2

Q: Find dx dt dx dt at x 2 if y= = - 2x² - 1 and dy dt = - 3.

A:

Q: dx 25. Integrate: S Ve-2x –1 А. Sec-1e* + С В. Sec-1е-* + С С. — Sec-1e* + С | D. —Sec-1e-* + с

A:

Q: Suppose 4x + 9y - 25, where x and y are functions of t. (a) If dy/dt-, find dx/dt when x = 2 and y =…

A: Given: 4x2+9y2=25 Since, x and y are functions of t, therefore differentiating each sides with…

Q: Solve the system of ordinary differential equations defined by dx/dt+y = cost dy/dt+x = −sint

A:

Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

A:

Q: Find dx (e3t + 1)dt. -cos(3rx)

A:

Q: Classify the partial differential equation +34 = sin(3x + 4y).

A:

Q: Q.2 (a) Form Partial differential equation from z = ax² + by?

A: the given equation is z = ax2 + by2 .......(1)

Q: 18 -14 dx dt 21 -17 with the initial value x(0) %3D 9 x(t) LO

A:

Q: Solve using separable differential equations dx 1 dt хet+2x

A: Using variable separabale method of differential equations.

Q: Find dx dt dx dt at x = = 2 if y= 2x² - 1 and dy dt - 3.

A:

Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

A:

Q: (a) f* (1 – cos 3t) sin 3t dt,

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: If x3 + y3 = 9 and dx/dt = -3, then what is dy/dt when x = 1 and y = 2?

A: Given,

Q: (In x) dx Integrate: 1

A:

Q: Find at x = -2 if y = - 4x² + 3 and dy dt dy dt = dx dt - 1.

A: Topic = Derivative As per guidelines , at a time only one question can be answered. pleas repost for…

Q: Can i get help step by step please

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.