Which of the followings is a nonlinear differential equation? O y" - (cosa) y' = xe + (sin z)2 dy dx 5xy da? O d'w dw + 3x- dx %3D dx? O y" - ry' = er +2 O" - 5.x22 = %3D 1+ x2

Q: y²y" = y³(y')² – yy'

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Q: Given the differential equation y' = 4x y Find the next two Implicit derivatives of the differential…

A: The given differential equation is y'=4xy ............................................. (1)…

Q: Is y'' = sin x a linear differential equation?

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Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: Given the differential equation y' = &r + y2 Find the Implicit derivative " dy/dx" of the…

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Q: cosy dx + (1 + e¯*)siny dy = 0

A: By separating the variables on each side  we can integrate them easily. Given, cosy dx+(1+e-x)siny…

Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

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Q: Identify which below is a separable Ordinary Differential Equation 2xy a. y': х(у — 1) — у dy _x+ y…

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Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

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Q: Given the differential equation y' = x2 + y? Take the Implicit Derivative of this function 2 times…

A: Given, the differential equation                                    y'=x2+y2 then take the implicit…

Q: Identify whether the following differential equation is separable or linear. 2y x² +: Jax = (3–…

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Q: Consider the differential equation (1– v2)y' – ytanx = yv²tanx Which of the following is the linear…

A: Given(1-2) y1 - y tan x = y2 tan x —(I)(1-2) y2- y1 - y1-2 tan x = tan x —(II)Put       y1-2 = u…

Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

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Q: Form the differential equation for the function 2xy= asin2x -bcos2x O a. xy" +2y' = – 4xy O b. xy"…

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Q: (2xy-tan(y))dx-(sin(y)ln(5x+15)-y^(-1))dy=0 using Exact Differential Equation

A: Given,Differential equation,2xy-tan(y)dx-sin(y) ln(5x+15)-y-1dy=0To find: General solution of the…

Q: x+y-8 y' = 3x+3y-4

A: We have the equation y'=x+y-83x+3y-4 or dydx=x+y-83x+3y-4 We need to transform this differential…

Q: Which of the following is the general solution to the differential equation 4xy -x2-y" dx for x 0?

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Q: The particular solution when x y' = (x² +1)/(2-y) is: -3 and y = 4 of the differential equation

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Q: The solution of the first order linear differential equation y' + ycotx = cosx is O…

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Q: Identify if the differential is homogenous or heterogeneous. State also whether the equation is…

A: As per guideline we have to solve three subparts

Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y –…

A: Option A

Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations

Q: Consider a differential equaUion -x2 y' = xy + xe

A: we have been given a differential equation with initial condition y(0)=0 y'=xy+xe-x2

Q: y' = x 2 (1+x²)² cos² y solve differential

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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.