Solve the following Clairaut equation: y=xy'+1-ln(y')

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

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Q: Find the differential equation corresponding to y=a cos (logx) +b sin(logx) or y=A sin (logx)…

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Q: Solve the differential equation using variation of parameters. d’y +y= sec³(x) dx

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Q: find the timear form of this differential equation

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Q: Solve the differential equation by variation of parameters. y" + y = sin?(x)

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Q: ५ = (+गुंग्ट

A: Given- dydx=1+y2ex To Find- The solution of the above differential equation.

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

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Q: solve the differential equation

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Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

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Q: Determine whether the differential equation -dx = e* is x' +1 separable or not. If yes, solve it.

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Q: Solve the differential equation by variation of parameteres: y'' + y = sec(x) + tan(x)

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Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is…

Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

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Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 4 y(x) =

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Q: Solve the differential equation by separating the variables.   dydx=sin(x+y)−cos(x+y)

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Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

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Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…

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Q: Solve the higher differential equation below; yiv - y = 2 cos x

A: The given differential equation is yiv-y=2 cosx The auxiliary equation is  m4-1=0. On solving,…

Q: dy (S+e")을=-cosr+Ing)

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Q: Solve the differential equation x sin

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Q: Solve the differential equation for y if (1+9x²) dx %3D

A: Here we have to solve the differential equations,  1+9x2dydx=1.................................(1)

Q: Find the integrating factor for the differential equation and solve it, (x³ – y) + xy' = 0. Can you…

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Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: Solve ∫xn ln x dx in tegration by Parts?

A: Given:               ∫xn ln x dx Apply integration By Parts:              ∫xn ln x dx=ln x∫xn…

Q: A falling object weighs 160 lbs. Beginning from the differential equation, find the object's…

A: Given,  a falling object weighs 160 lbs.

Q: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

Q: The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

A: Given that, The tank contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

Q: Investigate the root of the equation x+Ln x-5 = 0 in the range [3.2,4] using the Regula-Falsi…

A: Consider the given equation whose root is required to calculate.

Q: Solve the differential equation by the method of integrating factors. y + 7y = cos (e7*) y = Use "C"…

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Q: solve

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Q: dy = ky| 1- dx L)

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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Q: Y = CI cos 3x + C2 sin 3X

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Q: Solve the differential equation Y=3x+logP

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Q: Find the general solution for each differential equation. Verify that each solution satisfies the…

A: The given differential equation is, 4x3-2dydx=0 On separating the variables, we get…

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) = %3!

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Q: Solve differential equation by variation of parameters y"+9y = sin?(3x)

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

A: Conversion of  differential equation into voltera integral equations

Q: 3 + v 2 3tV di

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Q: "Find the general solution for each differential equation. Verify that each solution satisfies the…

A: The given differential equation is dydx=ey2y. Solve the above differential equation as follows.

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

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Q: Solve the differential equation tan x- dy ey-cotx dx

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Q: Find the general solution for each differential equation. Verify that each solution satisfies the…

A: Find the general solution for each differential equation. Verify that each solution satisfies the…

Q: Find the seperable differential equation

A: A differential equation dydx=f(x,y) is said to be a separable equation if the given function fx,y…

Q: x dy -ydx -Vx²_yz dx =0

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Q: "Find the general solution for each differential equation. Verify that each solution satisfies the…

A: Given- ydydx=x2 To find- The general solution for above differential equation. Verify that solution…

Q: 6. A certain radioactive material has a half-life of 100 days. If the amount of material present, x,…

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Q: A body at a temperature of 50° F is placed outdoors where the temperature is 100° F. If after 5…

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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.