cos x dx + (1 + sin x dy = 0

Q: 1. siny dx + (x - sin? y)dy=0 + ( 1+x)y = e -x sin2x

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Q: (y² + xy³)dx + (5y² – xy + y³ sin y)dy = 0

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Q: 2y (4x — у) dx + (2х? — Зху — у3) dy %3D0

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Q: Consider the following linear differential equation x dy/dx + 2y = sin(x). a) Calculate the…

A: The objective of the question is determine the I.F. and solution of the differential equation.

Q: Solve the following differential equations using the appropriate substitution. Solve tan (x + y) dx…

A: As per our guidelines, we are allowed to answer only one question. So, I am providing solution to…

Q: 1. y'dy-(4y' + 48x klx = 0

A: The simplified form of Bernoulli's equation can be summarized in the following memorable word…

Q: Solve the following differential equations using the appropriate substitution. Solve tan (x + y) dx…

A: Given: 2+2x2y12dx+x2y12+2xdy=0 and x2y12=v To find the solution of the differential equation using…

Q: Solve the following differential equation and its integrating factor. dy Determine the solution of…

A: topic - differential equations

Q: Solve the following differential equations. 2. x sin 3y dx + cot 3ydy=D0

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Q: dy dr = cos(²) +

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Q: (v – cos "x)dx + cos x dy = 0

A: The given differential equation is: (y-cos2x)dx+cos x dy=0 Rewrite the equation as: (y-cos2x)cos…

Q: Solve the following differential equations: (x sin y – Inx - x)dy = {y (1+)+ cos y}dx

A: Please see the answer below

Q: 6. yi+ yž = 1, when x = 0, y = 4 dx

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Q: 5.) (8x?у + 3x3+ бу3) dx + x(? + Зу?) dy %3D 0

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Q: 1. (tan x - sin x sin y) dx + cos x cos y dy = 0

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

Q: 2(3e²* cos y + x) dx – 3e2* sin y dy = 0 ; y(-n) = 0

A: Using Method of Exact Differential Equation.

Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy %3D

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Q: determine if the given differential equation is an exact DE or not?…

A: Given ODE is: x(1-siny) dy-(cos x-cos y-y)dx=0Comparing with Mdx+Ndy=0We getM=y-cos x +cos…

Q: Solve the following differential equation using appropriate method. 3. (r+ sine - cose) dr + r(sine+…

A: r+sinθ-cosθdr+rsinθ+cosθdθ=0

Q: 4. x dx + (x²y + 4y)dy = 0; y(4) = 0

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Q: Determine if the following Differential Equation is an Exact/Inexact. If it is an inexact…

A: Exact differential equation: A differential equation M dx + N dy = 0 is said to be exact if…

Q: Consider the following differential equation f + = cos (x) What is the general solution ?

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Q: Check the exactness of the following differential equation and find its solution: {2xy cos x² - 2xy…

A: Exact differential equation

Q: Solve the following differential equations using the appropriate substitution. 1. Solve tan (x + y)…

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Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

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Q: Solve the following differential equations, giving y in terms of x. dy (iii) cotx + 2y = sin 2x. dx

A: Let us consider a differential equation of the form dydx+Py=Q where P and Q are function of x  To…

Q: Solve the following differential equation Vx² -y? +y y' = Select one: O a. tan-1(2)=Inx+c O b.…

A: Given: y'=x2-y2+yx For finding solution of given differential equation, we substitute y=xt…

Q: Find the general solution to the following differential equations. Show all necessary solutions. 1.…

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: 7- cosy dx+ (x siny-cos'y)dy=0

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Q: Solve the following differential equation. Indicate the method used. 1. sin 3r da + 2y cos³ 3x dy =…

A: Let us consider the differential equation f(x)dx=g(y)dy To solve the differential equation integrate…

Q: dr cos(t)r(4-r); r(0) = 1.

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: 3x2 dx x3 + у+1 - 8(у + 1) %3D 0 dy

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Q: a sina f da t tanddv cOs a

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…

Q: Solve the following linear differential equation 1. y''+y'=-cos x 2. y''-6y'+9y =ex

A: we have to solve differential equation

Q: x*dy-(xy+ y² kdx = 0 ; when x = 1 and y = 2

A: Solution:- x2dy-xy+y2dx=0 dydx=xy+y2x2 Put y=vx or dydx=v+xdvdx The differential becomes:…

Q: 2. x + ( 1+x)y = e * sin2x dx

A: Tp solve the following differential equation

Q: Solve the following differential equation using the Euler and Rong Kota quadratic methods dy / dx =…

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Q: siny ( x + sin y ) dx + 2x² cosydy %3D

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Q: y' = cos?x cos y %3D

A: Explanation of the answer is as follows

Q: (x² + y² – 5)dx = (y + xy)dy; y(0) = 1

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Q: Solve the following differential equation in terms of an Exact differential equation. x dy/dx + y…

A: we have to solve by using exact  differential equation

Q: dr cos(t); x(0) = 0. dt 1+t

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Q: Solve the following differential equations of cos (y) y'+sin(y) = x

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Q: 1. у %3D Cје-* + с2 cos 3x + с3 Sin 3x у" +у" + 9y' + 9у %3D 0

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: e?y cos?x dy y? Ln(sinx) dx ニ。

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Q: Solve the following differential equation over the interval Give an explicit solution. dy cos r + y…

A: See the attachment

Q: y(x + y)dx + (x + 2y – 1)dy = 0 (determination of integrating factor) %3D

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