Used range Kutta method to find y(2) if y (1) = 2 dy e/y + sin dx y

Q: Find dy/dx by implicit differentiation.   1) x3 + x4y4 + y7 = 5   2) x^2 / x+y = y2 + 7

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Q: Use the Euler method with dx = 0.5 to estimate y(5) if y' = y2/√x and y(1) = -1.  What is the exact…

A: In the given question, it is asked to solve a differential equation using Euler’s method.

Q: 2. Consider y = cos(2x). 2.1. Find Y dx 2.2. Determine an equation for the tangent line at x 0.

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Q: cosh x dy + (sinh x)y = e-* dx

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Q: y(cos 2x)e*y – 2(sin 2x)e*y + 2x + [x(cos 2x)e*y – 3] = 0 %3D dx

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Q: 2(y+1) dy t 2) 2(у + 1)4 dx x+1

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Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: sin(2x) dy for y = dx Find V2-25 dy dx

A: The required formula is ddxuv=vu'-uv'v2

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: Used range Kutta method to find y(1) if y (0) = 2 dy x+4 + cos y+5 dx

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Q: dy sin(2x) Find for y || dx /3 – x2 dy dx II

A: Doing the proboem by obtaining the derivative.

Q: 2. Find the value of dx at y=2 if x=z²+5z and z= (y² + 2y)²/3.

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Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: Use the Euler method with dx = 1/3 to estimate y(2) if y' = y - e2xand y(0) =1.  What is the exact…

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Q: Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² -…

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

Q: Use Euler's method to estimate y(0.02) ey-x y' 1 + e²y ,y(0) = 4

A: Given differential equation is y'=ey-x1+e2y with the initial condition  y0=4 and step size is…

Q: 2- X %3D +2 3- Coshx dy +(y sinh x+e) dxo 36

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x − (sin(x))2   dy=

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Q: find dy/dx by implicit differentiation. 1. (2x+y)^3=x 2. (x-2y)^2=y 3. xy+2y=3 4. xy+2y=x^2

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Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

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Q: dy +cosh 2y=0 dx 3. sin x ans: sinh 2y-2cosx3Dc

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Q: Using dx/dy solve sin(x+y)-cos(x+y)=1

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Q: Use the Euler method with dx = 0.2 to estimate y(1) if y' = y and y(0) = 1. What is the exact value…

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Q: dy - cosh x dx + (sinh x)y = e¬x

A: see the details solution in below

Q: ( cos x - 3xy- 2x) dx + (2y sin x – x+ In y) dy = 0, y(0) = e

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Q: Find dy/dx by implicit differentiation arctan(2x^2y)=x+4xy^2. The answer I got was…

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Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: find dy. y = sin (5√x)

A: The given function is y=sin5x.

Q: g) y² ex+y = cosh x + √rosh²x -1 +7 et h) (3 x y² + 4y) dx + (3 x²y² + 2x) dy = 0 I) sin x dy Sin 2x…

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Q: Find dy/dx for y = cos-1 x.

A: Given function is: y=cos-1x Then we get, x=cos y

Q: y = (cos x-x4+ 1/x2)5 - In (3x+1)  Find dy/dx

A: =?

Q: dy of y=X Find

A: y = x^x Find dy/dx

Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

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Q: dy Y - sin sin-* = 0 ソーx || dx 3.

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Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx

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Q: Use the Euler method with dx = 0.5 to estimate y(5) if y′ = y2/sqrt(x) and y(1) =-1. What is the…

A: Consider the formula used in Euler’s method.Also summarize the given data in the question.

Q: Chose only two: dy 1. Find for y + In x2 y2 -cos 2x* = 27 dx 2x+1 2. Evaluate: f dx -4

A: We use chain rule and product rule while differentiating the given equation.  Also for integration,…

Q: 3) dy dx - y = sin x

A: We have to solve the given differential equation.   According to our guidelines we can solve only…

Q: Find the indicated derivative. 1 - 2x2 x* — 2х2 + 6 dy for y : dx - dy %3D dx

A: Quotient rule of differentiation:…

Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

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Q: Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 6 y'%3=

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Q: Find dy/dx.   e4x=sin(x+3y) dy/dx=

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Q: dy for y = dx 9t -dt. 9t + 1 iz's rule to find

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Q: Find dy/dx by  implicit differentiation for: Sin(x+y)=y^2cos x ANd  Sec(xy)+e^y=3x-4

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Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given: y'=2y-2x2-3 , y(0)=2 , h=0.3. We find y(3) by using Euler's method. The formula for Euler's…

Q: 3. dy Find if y 2xy - x: dx = cos X using implicit differentiat

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Q: 2. Find the linear approximation to y = sinh (3x) at x=2. State your answer in both exact form and…

A: Find the linear approximation of f(x) at a point x=2

Q: Find dy/dx Find dy/dx y =x² sin°(2x²) x*y? = 1

A: To differentiate y=x2sin2(2x2), with respect to x, use the product rule,…

Q: 1- Cosh x dy + (y sinh x +e*) dx =0

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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.