Find the solution of the initial value problem dy y , y(1) = 5 + tan %3D %3D dx

Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: 4x-y<-1

A: Given  4x-y&lt;1 Can be rewritten as y&gt;4x-1 So we take the area above the line y = 4x -1 And all…

Q: dy dy +у сos x + 2xey — Зх2 %3D (1 — х?ey) dx sin x dx

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Q: Need help with completing two derivatives: For y = tx^2 + t^5 x I need to find dy/dx and dy/dt…

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Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

Q: Solve - s d²y + 6y = 2 sin 4x dx | %3D .2

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Q: Find dy/dx If y ex A 2/א"e ],/איe D-2V B.

A: We have to find dy/dx.

Q: The Bernoulli's Equation dy/dx - y[1/(2x)] - y^5 = O can be transformed in which of the following…

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Q: Solve Y" - 6y + 13y = cos(4x)

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Q: cos2ydx + tan y dy = 0 x = 0; y = 9

A: Here we have to solve the given differential equation

Q: y = cos(2x), y = sin x, 0<x< 2

A: Solution is given below:

Q: 3. Integrate the function. (a) / Vx–1dx = %3D (b) /e2+ 2x+1 dx = (c) | (sin xcosx+ sinx cos x) dx =…

A: Hello there! You seem to have uploaded a question with multiple subparts. As per our guidelines, we…

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

A: We can solve the given differential using integrating factor.

Q: dy/dx + 2xy + xy = 0 Ans. 1/y3 = -;+ 1 + ce3x? 2

A: The given differential equation is  dy/dx + 2xy +xy4=0

Q: 2x tan y + x2ey = 25 %3D

A: Given:       2xtany+x2ey=25   fx=2xtan(y)+x2ey-25=0   differentiating on both sides…

Q: Find dy/dx if y³ = In x* Answer: Find dy/dx if sin-(2y) = x® + yª Answer: Find dy/dx if In(x*y) = 2x…

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Q: 2. The slope of a curve at any point (x, y) is given by dy da 4x, if the curve passes through (-1,…

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Q: What is the solution of the equation dey/dx=y/x+tany/x

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Q: Ex.: Solve dx dy 2- dt -x- e' dt dy dt dx +2. +y%3Dt.. dt versity-Civil Enginee & Num. A

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Q: 3 - (3x + 3ry')dx - (3y - 2y - 3xy)dy = 0

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Q: Q3 Find dy/dx on the graph y sec/x+ y? = cos2x at point (1, 2).

A: We have to find dy/dx at (1,2).

Q: 2. xdy+(y-xy')dx =0

A: Given differential equation xdy+(y-x²y²)dx=0

Q: dx 3x 6y = 0 dt dy 3x + Зу %3D 0 dt

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: Solve (1 + y) dx = (tanly-x) dy

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Q: Pdx + dy = 0, y(-1) = 2. (y 2) dy = 0, y(-1) = 2. ry2

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Q: dy Find if 2x2 dx 2 + y In (xy) =

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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.