If a nonhomogeneous linear differential equation has g (x) = sin 5a particular solution? O A sin Br O A sin 5x O A cos 5x + B sin 5x 5 sin Ax

Q: The solution of the differential Equation dy csc x by Direct method dx is

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Q: Q1) solve the following differential equation 2- 3- y² (cos x +)dx + (e² + 2yIn(x))dy = 0 (sin³ (x)…

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Q: Show that given differential equation dy y cos x + sin y + 9 – 0 is Exact and dx sin x + x cos y + x…

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Q: Solve the differential equation y + (tanx) y=cosx ? Ay=xsinx+Csinx By=xsinx+Ccos.x Ⓒy=sinx+Ccos.x D…

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Q: dy + (cos x)y = sin(x²) 1. sin x %3D dx

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Q: Since dv = cos( cos9 x) dx, integrate the differential equation to obtain the function v. V = ^p -…

A: We have to find solution

Q: 1) Verify that the indicated function y = −(cos x) ln(secx + tanx) is an explicit solution of the…

A: First we will find y" Then put value of y" and y in   y"+y = tanx If we get  LHS =RHS then it means…

Q: tan x dy +y sin x dr = 0, when x = 0, y = | O y (3- cos 21) = 2 O y (cos 2x O y° (2 – cos 2x) = 1…

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Q: Show that the function: y = -xcos (x) – x is a solution to the differential equation: dy :) = y + x²…

A: Let's find.

Q: The roots of the characteristic equation of a linear second-order differential equation are -3…

A: Given that, The roots of the characteristics equation of linear second order differential equation…

Q: The solution of the following linear differential equation : – (cosx)y + 2xe”si sản x is: dx y =…

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Q: Find the solution to the differential equation: cosxcos ydx + sin x sin ydy 0 a. cos x = C'siny O b.…

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Q: Particular Integral for the differential equation ( D +D+4)y =sin2x is given by cos2x a. O b. cos2x…

A: By the using rule of particular Integral we can find integral

Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

Q: 5- Question 6: Which can be one of the solution for the following differential equation? y" + y = x²…

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Q: c) i) Find 2 sin cos (1 + sin 8)³ 1) Solve the differential equation sin 2x cos² y (1 + sin x)³ IL…

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Q: Solve the differential equation A. y = x² +cos3x + C B. y = x² + cos 3x + C dy dx = 2x + sin 3x. C.…

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Q: The solution of the differential equation tan xdx + tan ydy = 0 is

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Q: Consider the initial value problem (2xy² + cos x cosy) dx + (2x2y- sinx siny) dy = 0 and y(0) = 1…

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Q: The standard form of the following linear differential equation sin x = (cos x)y + xsin x + 2 is: dx

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Q: Find solutions using Exact Equations 1. Solve (y sin x + xycos x) dx + (x sin x + 1)dy = 0 2. Solve…

A: As per guideline , we can solve only one question at a time. If you want another question to be…

Q: 2. (2.xy – sin x)dx + ( - cos y dy = 0

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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.