dy of the implicit function. dx 4. Find the 1 1 1 2 2 = a

Q: Solve the following initial value problem for y as a function of x dy 3+ /39 Vx² - 2- 25 = 1, x> 5,…

A: Here we have to use the following formula 1)  ∫dxx2-25=ln x+x2-25+c2)  lnab=ln(a)-ln(b)

Q: If dy = x² dx, find the equation of the curve that passes through the point (1, 1). 2y + x³ + 2 = 0…

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Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

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Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

Q: Find P.I of the given d'y 5. +6y ex dx sdy dx?

A:

Q: when step Qal Evaluate the x²+2Xy + y? dy dx Size of x=0,2 and step size of y= 0.5

A: We have to solve ∫01∫02(x2+2xy+y2)dydx Given step size of x = 0.2 and step size of y = 0.5

Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: dy dx Find t3 de +1 ソニ 1-3x

A:

Q: Solve for the given DE: y(y^3-x)dx+x(y^3+x)dy=0

A: first we will check this is exact or not this is not exact then we will find its integrating factor…

Q: 6) Find dy given e 3y = y2 + x. opr dx

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Q: Find dy/dx and d2y/dx2 without eliminating the parameter. x=1-t^(2), y=1+t

A: x=1-t2,  y=1+t Differentiating with respect to t, we get dxdt=0-2t  &  dydt=0+1⇒dxdt=-2t  &…

Q: (a)Use the shooting method to solve: d'y dy = e*; y(0) =1; y(1) =-1. dx dx? Use h=0.1

A: Given that, d2ydx2-ydydx=ex; y(0)=1, y(1)=-1h=0.1 Here we use the Euler's formula: yn+1=yn+hf'xn,yn…

Q: Solve the initial value problem for y as a function of x. (x² + 25) dy %3D 29, у(5) %3D 0 dx

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Q: Find the general solution of dy/dx =(1+y^2)e^x. Write your solution y, as a function of x.

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Q: Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.…

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Q: x (lay_ In x) dy + y(1+lmy_lux). dx = 0

A: Introduction: A function of two variables is referred to as a homogeneous function when it is…

Q: dy Solve the initial-value problem for y as a function of x. (49 – x²). dx = 1, y(0) = 4 Y =

A: We will solve this integration using trigonometric substitution as follows

Q: dy = ( e )dx

A: See the attachment

Q: dy in terms dx of æ and y if æ In y + y = 7 ln æ. Find dy da

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Q: Solve the D.E [Y(1+1/x)+cosy]dx+[x+lnx-xsiny]dy=0

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Q: dy is equal to- dx If y = !, then the value of +3 V1 +y* V1+x

A: Introduction :

Q: Find dy/dx at the given point. (2t + 9, 7t − 9), t = 1

A: We have to find dy/dx at the given point - (2t + 9, 7t − 9), t = 1

Q: Let y = e"/1. Find the differential dy when x =1 and dæ 0.2 Find the differential dy when a = 1 and…

A: This question is related to differentiation. We will use basic differentiation results to solve this…

Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: SSAdalyticalsalution dy +Cosyco give y=- dx whan t= 12

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

Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: Let y=e" +b(x+1)'. When x = 0, suppose that dx - 0 and -0. dx Find the possible values of a and b.

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Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: II. Find dy/dx of the following functions: 1. y = cosh √√4x²+3 2. y= sec hx² x² +1 3. y=xcsche4x

A: See this solution in below

Q: 1. Find dx dy for the following functions: 1) y = (x- 3)(1- x) (ans.:4 - 2x) b (ans. :-,) x* 2) y=…

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Q: dy The solution of dx with initia y

A: Introduction: Separation of variables: This method is only practicable if the differential equation…

Q: 25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

A: see below the answer and calculation

Q: ery dx dy. 0.

A: ∫01∫01exydxdy Take ∫01exydxSubstitute u=yx=∫0yeuyduTake the constant out:…

Q: ) dx dy is

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Q: Find the solution of dy X. +y.Inx y.lny dx Show all your calculations.

A: Given equation is as below :

Q: dy for e dx (*² +1), 6. Determine ln( 19) + x² – xy =

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Q: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

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Q: хуз dx + e** ,3 dy = 0.

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Q: dy of the following implicit functions. dx Find 1. 2y3 – 3xy? + 4x?y – 3x³ = 72

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Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)…

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Q: Find for the indicated function y. dx y=15* + e7 (Type an exact answer.) dy dx

A: y=15x+e7Differentiate w.r.t x

Q: dy 1+y3 Determine the solution for the given DE: + = 0 dx xy?(1+x²)

A: Proceed as shown below

Q: dx Given y= e-2x? dy when X = 1 and dt 2. Determine the value of dt

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Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: Find the solution and define The interval at which function is değine 2. dx

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Q: Find dY for the function y= cos² 3X+ VSin x dx

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.