dy, y Q:Solve: +² log y = (logy)° . dx X

Q: Solve d 4me-m2 dy dm

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Q: dx dx Solve the equation +3 + 2x = e' given that x (0) = 0, x' (0) = dt

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Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below

Q: (D3 + D - 10) y = 29e4x

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Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

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Q: Solve the linear D.E dy = (e-X sec2x - y)dx

A: Given: dy=e-xsec2x-ydx ⇒dydx=e-xsec2x-y⇒dydx+y=e-xsec2x which is linear differential equation of the…

Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: Find dy/dx x = 2eθ , y = e−θ/2

A: Given:  x = 2eθ  and y = e−θ/2

Q: dY XY? Solve, given dx Y(0) = 3

A: The given differential equation is dYdX-X=XY2, Y(0)=3. This problem is related to differential…

Q: 1 dy y = x-'(a² + x²)z, solve for dx

A: Solve for the derivative

Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: Solve the equation dy dx? В - w(1 — х) — 0, | subject to the conditions that y = 0 and dy dx when x…

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Q: Solve. dy 71. 5x*y? + x?y² = dx 72. e-1/x. dy = x dx

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

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 equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.

Q: A. Solve the following equation using integrating factors found by inspection. 3. y(x2 + y2- 1)dx +…

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Q: I'Y (x) dx (x- 1)A =1+1+?. WINC

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Q: Solve the first order inhomogeneous equation dy + 2y = 3x2 dx Hint:

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Q: (xy)dx + e*dy = 0, as xo, y =D;

A: Given:- (xy2) dx + ex dy=0 To find:- Particular solution of given differential equation

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: d’y dy Solve -+3y=e dx dx

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Q: g(x, y) = sin (T ¤y) + log3 (x – 3y) -

A: The given function is                          gx,y=sinπxy+log3x-3y…

Q: dª y + a°y .Solve =sec ax. dx

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Q: x (х+1) dw solve for dx W 2х-1

A: The Quotient rule: fg'=f'·g-g'·fg2 The product rule: f·g'=f'·g+f·g' Given: w=xx+12x-1

Q: Q2) Solve the D.E dy + (xy- xy?)dx = 0 %3D

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Q: Solve D.E using bernouliis equation dy 1 y = xy² dx x

A: The objective is to solve the differential equation.

Q: Solve D.E using bernouliis equation dy – 2x · = x(x+1)y' dx

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Q: Suppose z is a function of x and y, and a? – y? = 2"e6y. Solve for dz dx

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Q: Slove this equation -2/x e y dx =1 1 x / dy

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Q: dy XY² Solve, given Y(0) = 3 dX

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Q: Solve the first order o.d.e dy/dx=(1+y^2)e^x

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Q: If xy + ey = e, find the value of yn at the point where x = 0.

A: xy + ey = eWhen x = 0,  ey = e = e1Hence, y = 1

Q: xy dx + e* dy = 0 er?

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Q: Solve the initial value problem. d?y = 6-30x, y'(0) = 8, and y(0) = 4 dx? %3D y(x) = |

A: According to question,Given differential equation,d2ydx2 = 6-30x,y'0 = 8y0 =4

Q: dy 1. Solve the equation x2. +x y= 1. dx

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Q: Solve: (r* + y") dy = xy dx

A: we have to solve the given differential equation . (x2+y2)dy=xydx

Q: Use Picard’s Method with 3 iterations to solve for y(0.1) and y(0.2), the equation dy/dx = x2+y2;…

A: Picard method: Consider the initial value problem, dydx=fx, y, yx0=y0 Then  yn+1=y0+∫x0xfx,yndx…

Q: dx + 3t?x = x?t et3 solve by Bernoulli's dt Equation

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Q: Find the solution. dy - +y= dx 1 1+e* A y = ce*+e*In (1+e*) B y = ce¯ - e -*In(1-e*) (© y =…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Solve  (dy/dx) = (y/x)

A: By  variable -separable  method  we separate the variable

Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: dy Solve = y(xy' -1). dx

A: Given dydx = y(xy3-1)dydx = xy4-ydydx+y = xy41y4dydx + 1y3 = x…

Q: Find an integrating factor to the non-exact equation and then solve. e(4x+y)dx - 2(x² - y)dy=D0

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Q: dy Зу + 2 = 3x, x > 0 dx (Solve for y)

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Q: Solve the given dy=x√ e+~

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Q: dy Given that y = x² log2(7 – 6x), find dx dy dx

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

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Q: 50. y dz dx dy

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Q: dy 3. (а - by)у dx

A: Bernoulli's differential equation