3. Find the particular solution of the Bernoulli's Equati y = 5.4y – 12y. y(0

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A:

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

A:

Q: Show that ¢(x) = Ce³* + 1 is a solution to dy/dx – 3y = -3 for any choice of the constant C. Thus,…

A: We have to check Q(x)=Ce3x+1 is solution of given differential equation.

Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given problem:- Find the general solution of non-homogenous differential equation using Variation of…

Q: Find the general solution of the differential equation y' + 14xyº = 0 using separation of variables.…

A: Solvvee

Q: Find a particular solution Y of the nonhomogeneous differential equation y 00 + y 0 + y = 2 cost −…

A:

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

A:

Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

A:

Q: find general solution of following differential equations: y'tanx=2y-8,y(1/2pie)=0

A: Given differential equationy'tan x = 2y-8⇒ y' = 2ytan x- 8tanx         ∴ y' = dydx⇒ dydx - 2tan x. y…

Q: Find the particular solution of the differential equation = 10y sin(x) using the given boundary…

A: To find the particular solution of the given differential equations

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A:

Q: The order of the differential equation of all circles of given radius a is: 3 2

A: Let's find.

Q: By separating the variables determine the solution of the differential equation xsin^2y…

A:

Q: The universal solution of the differential equation below may be found by substituting y=zx. Hence…

A: Given that                       x2 dydx = y (x+y)   hence we have to find the solution of d.E

Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

A:

Q: Find the particular solution to the differential equation y' + ytanx = sin2x with the given boundary…

A: Given:         Differential equation y'+ytanx=sin2x            y(0)=1 This is in the form:…

Q: 5. Solve these differential equations by using the variation of parameters method. 4+36y=csc 3x (b)…

A:

Q: The solution of the given differential equation for y(1.5) is h=0.1 interval value. Calculate by…

A: Euler's method uses the formula, yn+1=yn+hf(xn,yn) to perform the iterations.

Q: 1) The vertical distance y traveled by a falling parachutist can be computed by solving the…

A: The vertical distance y travelled by a falling parachutist can be computed by solving the following…

Q: x³y"+xy'+4y = cos (2 ln x) bulunuz.

A: See the attachment

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A:

Q: Determine the general solution and the particular curve that goes through point (0,0) of the e* cos…

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Q: 4 y"+y = sectx %3D

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Q: The partial differential equation is to solve: XUx + YUy = 0, with U(0,Y)=e-y^2  and i have that the…

A:

Q: (3x-y+6)dx + (6x -2y-6) dy=0 hint: Case 1

A: Given differential equation is                    (3x - y + 6)dx + (6x - 2y - 6)dy = 0

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A:

Q: determine the general solution to thegiven differential equation. Derive your trial solution…

A: The given differential equation is y'''-y''+y'-y=9e-x.

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A:

Q: 2. What should be A for the exact differential equation of ry + A , 2Ay – 1 dr+ y? Moreover evaluate…

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Q: 4 By using separable variable method, find the general solution of the differential equation dy _y…

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Q: Find the general solution of the differential equation y + 18xy* = 0 using separation of variables.…

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Q: Find a particular solution for the differential equation y" – 2y' = 2+ 5 cos x using the method of…

A:

Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: Form the differential equation whose solution is y = c1cosz + c2sinx Also find the particular…

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Q: By using variation of parameters, what is a possible value for u'1 for the differential equation y''…

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Q: 6. Given that y = 0 when x = 1, show that the solution of the differential dy equation 2xy- - = y² +…

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Q: Particular Integral for the differential equation (D² + 25)y =(cos5x) is given by a. -xsin5x 5 b.…

A: Option; b is correct.  Given differential equation ; (D2  + 25 )y  = cos5x Let D = m; Auxiliary…

Q: use the method of variation of parameters to find a particular solution of the given differential…

A: To solve the following differential equation using the method of variation of parameters to find the…

Q: 2. Obtain the differential equation having the solution as the equation representing all circles of…

A: The solution is given as

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A: Given a nonhomogenous differential equation y''+y'+y=2cost-sint

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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: What is the general solution with steps of the differential equation y’=sin(3x)y+y+sin(3x)+1

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Q: 3. The differential equation = 8 – 2y can be solved using the method of separation of variables or…

A: solve using separation of variable dydt=8-2y dydt=-2y+8 dydt=-2y-4 dyy-4=-2dt take integration…

Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

A:

Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

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Q: Solve for Higher Differential Equation using Undetermined Coefficients Method y" – 3y' + 5y = 4x³ –…

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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.