Which one is the differential equation if its solution is y= acoSx-bsinx O a. y"-y' 0 O b. None of these O c." =0 d. y"+y' = 0

Q: 1. Solve the linear differential equation of y' – 2xy = = X. swer:

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Q: 2. Form a Differential Equation for the given equation y = 2 cosx + 5 sinx by eliminating the…

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Q: For which values of n is the function ya solution of the differential equation xy"-Kxy'-6y=0

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Q: 3. Find the general solution y = Yc + Yp to the differential equation. Use the uppercase letters C…

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Q: Find the general solution of the first-order linear differential equation. y + y = 16 cos (x)…

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Q: 3xy dy (In y)8 da

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Q: Solve for the non-homogenous linear differential equation: y''+4y=cos^2(x)

A: Given; y''+4y=cos^2(x)

Q: Form the differential equation whose primitive is given by y= ex(a cos⁡x + b sin⁡x),  a, b, being…

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Q: 3. If the general solution to a second-order differential equation is given by cie + ce-5, find the…

A: In the question it is asked to solve the differential equations with initial values given.

Q: What differential equation corresponds to an RC circuit with a resistor of R = 100 and a capacitor…

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Q: Assume that the rate of change in y is proportional to y. Solve the resulting differential equation…

A: Given  dydx=ky Points on the curve 3, 3 and 4, 6

Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2   What is the best way to solve the First Order Differential…

Q: 4. Solve this linear differential equation by using the appropriate integrating factor +y =x - 1+

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Solve Bernoulli differential equation of y' + xy= ry². %3D

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Q: 1. Form the differential equation by eliminating the constant A and B from y = emx (A cos nx + B sin…

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Q: Solve the given differential equation by undetermined coefficients. у" - бу" %3D 2 - cos(x) y(x) :

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Q: Solve the given differential equation using indeterminate coefficients y''' - 6y'' = 3 - cosx

A: The given differential equation is y'''-6y''=3-cosx. Its auxiliary equation is m3-6m2=0. Solve it as…

Q: Solve the given differential equation by undetermined coefficients. y'' + 4y = cos2 (x)

A: Find the homogeneous solution of the given differential equation as follows.

Q: A solution for the differential equation is y = eux A1 sin (vx) + A2 cos (vx), where m and n are…

A: We will find out the required values.

Q: Without solving for the undetermined coefficients, the correct form of a particular solution of the…

A: We have differential equation,   We have to guess particular solution (yp ) using undermined…

Q: Q1 By eliminating the constants A and B from the equation y = Asin 2x + B cos2x, form an ordinary…

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Q: 2. y" + 25y = 5 tan² (5x) cos(5x)

A: The given problem is to solve the given differential equation, we have to solve it by using…

Q: 3. (х - у)ӑх + (х — у+2)dy %3D0 (Homogenous) 4. 2(2ху + 4y — 3)dx + (х + 2)?dy 3 0 (Non-exact)

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The rate of growth of a plant is proportional to the difference between its height h and the maximum…

A: The given data is: The rate of growth of a plant is proportional to the difference between its…

Q: 4y" + y' = 0

A: We calculate differential equation by the help of Euler identity

Q: What is the general solution of the differential equation; y’ = 2x cos (x^2)

A: solution:-y'=2x cosx2solving the differential equation we getdydx=2x cosx2y=∫2x cosx2 dxlet x2=t2x…

Q: If the differential equation is = ye", where x = 0, y = e. Determine the value of y when x = 1.…

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Q: what is the particular solution to the differential equation dy/dx=3sin(x)(2-y)with the initial…

A: You need to apply variable separable metod to solve the given differential equation.

Q: Eliminate the arbitrary constants in the equation defined by y = ae^(3x) + bxe^(3x). Which of the…

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Q: 2.Form the differential equation from the family of curves y² = Ae³* + Be* , where A and B are…

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Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Obtain a linear differential equation with real, constant coefficients that is satisfied by the…

A: If the particular solution is: y=2excos3x                                        ....(1) The first…

Q: Show that the differential equation (- y² – y sin r + x²)dx + ( cos x – 2xy – 2021y²) dy = 0, | is…

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Q: 2- Find the solution of these differential equations : 1. (x – y) = x + y dy dr

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Q: Show that y=x and yex are lenean inde pendent Solution of the Corres pondinp hamogeneous part ot the…

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Q: (メyーx+24 -2) dx- (x+ 4x) 0

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Q: Solve the differential equation y Pemer 6a y5 subject to the condition that y 3 when = 3.

A: Here we have to solve the given differential equation

Q: The point Xg-0 is a singular point to the differential equation csc(x) y" +-y-y-D0. Select one: O…

A: Given differential equation is cscxy''+1xy'−y=0.....1. We have to check whether the point x0=0 is a…

Q: Determine the form of a particular solution of the differential equation y" + 9y = e*cos3x + x² +…

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Q: The solution of the following homogenous differential equation y' = - x+y -is

A: We find the solution of the homogeneous differential equation y'=yx+y

Q: Solve the given Cauchy-Euler differential equation. For problems with initial values, plot the graph…

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Q: he of the curves corresponding to different values of C in the general solution of the differential…

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Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = a sin æ +…

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = aeª +…

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Q: 4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

A: Given: The differential equation is 1+x2dy+y-tan-1xdx=0 To find the general solution of the given…

Q: Find the special solution of ele differential equation. = 20x - 4x3 dy dx y with the initial value…

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Q: 2 sin x Show that y is the solution of the differential equation xy'+y=2 cos x.

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Q: The value of k that will make the differential equation (6xy³ + cos(y))dx + (2kx²y² - xsin(y))dy = 0…

A: Consider the differential equation: 6xy3+cosydx+2kx2y2-xsinydy=0 Comparing the given differential…

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.