1. Solve for the differential of the following given the values of the variables and their increments: y? -1 x tan x = y = z = 1, Ax = -0.1, Ay = 0.2, Az = 0.05

Q: (1+ 4æy – 4a?y) dæ + (22 – a) dy = 0

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Q: Q. Solve the following first-order differential equation ip dr ey-r +x = 0, with IVP y(0) = 1. %3D

A: The given initial value problem is ey-xdydx+x=0, y(0)=1. Solve the initial value problem as follows.…

Q: (b) Figure 2 shows the experiment conducted to study the relationship between the velocity of blood…

A: Solve the problem as shown below.

Q: Find the general solution of the following differential equation (and check your answers by…

A: Given differential equation is y''=-2xy'2 let y'=t y"=dt So ,dt=-2xt2dx Integrating both sides,we…

Q: xy' – 2y = e*y?;x = 0, y = 1

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Q: 6. Solve the following differential equations. xe²-In y? dx dy b) a) dy +y cot x = x dx

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Q: For what values of k does the function y = cos(kt) satisfy the differential equation 121y" = -81y? k…

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Q: 27 dy -y COSX solve the differential egdation XP

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Q: A12. Which of the following differential equation having the solution y-sin x ? a) y+cosx=0 b)…

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Q: Solve the following differential equations: (DE in 1st Order, 2nd Degree) 10.) 2(y')?tan?x - y'tan³x…

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Q: 2. Solve the differential equation dy e?y-cot x dx tan?

A: Solve the above differential equations

Q: Find the general solution to the following differential equation y" + y = tan(t)

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Q: Find the solution of the following Differential Equations 8) y' = tan(x+ y)–1

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Q: Consider the following differential equation to be solved by variation of parameters. y'' + y =…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Basic partial differentiation and integration is used

Q: Solve the following differential equation. Then find the value of then function y at the given…

A: I am attaching image so that you understand each and every step.

Q: ) Find the general solution to the following differential equation y" +y = tan(t)

A: find the general solution of the following differential equation            y"+y = tan(t)

Q: Let e cos /2x be a solution of the differential equation y" + ay' + by = 0, where a and b are…

A: To find  4a-2b

Q: Which of the following is Differential equation? A. sin x2 + cos x = 0 B. y = x4 + 2x + 1 C.…

A: To find which of equation is a differential equation

Q: Consider the following ordinary differential equation. It describes how things evolve in time and…

A: Given differential equation is 5d2xdt2+125x=960cost+580sinte-t+250t, x0=11, x˙0=23 dividing both…

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 ( 9x5 + y) dx - xdy…

A: We first rearrange the given differential equation and write it in other form as

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Given, (+) dæ + ) dy =iß an exact differential equation. Determine the value of A.

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Q: For what positive values of k does the function y = sin(kt) satisfy the differential equation y" +…

A: Given: The function y=sinkt satisfies the differential equation y''+324y=0 . The function y=coskt…

Q: Let y be a solution of the differential equation sin y di = , where sin y > 0, for all y such that…

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Q: (a) Determine whether the following differential equation is exact, if exact then solve 2.xy dx +(1+…

A: The given equation is: 2xy dx+(1+x2)dy=0 Comparing it to P dx+Q dy=0 So,  P=2xy, Q=1+x2Py=2x…

Q: Show that y = 1 - x cot x + A cosec x, where A is a constant, is a general solution of the…

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Q: y' = x sin? y Ans: 2 cot y – x² = c

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Q: 3. Solve the following higher order differential equation given that y() = 0, y(풍) %3D2 : %3D dy dr…

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Q: Given the following differential equation: dy + tan dx a) Solve for the general solution. b) If y(2)…

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Q: Which of the followings is the general solution of the differential equation y' = sin? (x – y)? - a)…

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Q: 1. Write and solve the differential equation that models the following statement: The rate if change…

A: we know simple formulas of integration that, integration of (1/y) = ln(y) integration of (1)dx = x

Q: 15 tan y + y/(1 + x²) = (2 Tan-'y – Tan х — X sec? у)у'; у(0)

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Q: Solve the following differential equations properly. a. y(x2 + xy - 2y2)dx + x(3y2 - xy - x2)dy = 0…

A: first we find the integrating factor then solve for the particular solution

Q: y = csc x cot x

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Q: Solve the following differential equations: (1) xdy - (tan y+xsec y)dx =0. d'y (2) +4y-(cosx)? =0.…

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Q: Find the complete solution to the following differential equation: dy y-sec () tan -) y²sec? dx x2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Solve the following Differential Equation y' = y tan x; @y(0) = 1/2 n

A: Given:- y' = y tan(x)  , y(0) =1/2  To find :- Particular solution of given differential equation

Q: For the following differential equation: (2e4 cos y – sec² a) dæ + (-e²" sin y + 3y?) dy = 0 (a)…

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Q: = -2 sin x where y (4) = 7 dx = JT

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Q: What is the solution to the given differential equation dy = = tan x tan y dx? A. cos x sin y = c В.…

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Q: The following equation is not exact but it can be changed into exact differential equation (x +…

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Q: Given the following differential equation: (D² – 4) y = e-3= sin e- Using the method of variation of…

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Q: Given the following ordinary differential equation y' = 5y What is a solution for y(x) such that it…

A: Solve the given ODE by separation of variables.

Q: y'= csc x + y cot x 2.

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Q: Q3/ Find the differential equation of the following curves where A and B are arbitrary constants: y…

A: A differential equation contains either partial derivatives or ordinary derivatives of different…

Q: = cOSx cosx – tanx dx dx

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Q: 3. Solve the following differential equation: x(1+ y²) y (1+x?) dy dx

A: Use method of separation,