The differential equation formed from y = Ae3* + Be7ª is: y"-10y'+35Y3D0 y"+12y'+35y%3D0 y"-12y'+35y%3D0 o y'-12y'-35y=D0

Q: y" + 9y' + 7y = e-2t ,t > 0[

A: Using method of Laplace Transform.

Q: Show that the first order differential equation (x + 1) y' - 3y = (x + 1)5 is of the linear type.…

A: To solve x+1y'-3y=x+15; y=1.5 when x=0

Q: (3ху2 — у?)dx + (2х?у - 2у)dy - 0

A:

Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: Form the differential equation by eliminating A and B from Ax² +By² = 1.

A:

Q: ex 2. y" – 4y' + 3y = - 1+ ex

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Q: What is the particular I solution of the differential equation (2x + y²) dx + 2xydy = 0 when x = 1…

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

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Q: The diffeterctial equation is y²dx+ 3xZy² dx + dy=0

A: In the given question we have to find the value of the constant c at the point (2,1) when we solve…

Q: dx - y2-6y+13 dy = 0

A: Differential equation is an equation which consists of differential Coefficient in combination with…

Q: Find the Differential equation by eliminating the arbitrary constant from the given  y = Acos3x +…

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Q: Solve the differential equation by variation of parameters. 1 2 + ex y" + 3y' + 2y =

A:

Q: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

A:

Q: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

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Q: What is the particular solution to the differential equation +1+y = 2e- with y = 1, 2=-1 when x = 0?…

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Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

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Q: Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: The differential equation of the family of straight line with the algebraic sum of the intercept…

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (2D4 +…

A:

Q: 2. Consider the differential equation y' -()y = 2+G) t If y(0) = yo, find the particular solution to…

A: Explanation of the solution is given below...

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

Q: 2wt dt/dw = t2 - 2w3

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variables x for w…

Q: Find the general solution for the second-order differential equation ¨y + 8 ˙y − 9y = −3 with…

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Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: solve the for the general solution of the differential equation( linear homologous equation): y'' −…

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Q: quation for y (x) with real coefficients if two solutions are cos2x and e3x

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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: Find the particular solution to the differential equation: dy = 3x² cos² y. sSolution passes through…

A: Differential calculus is one of two main parts of calculus which is concerned with the study of…

Q: Find the particular solution of the curve which passes through the point (1,2) if the equation of…

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Q: Obtain the differential equation of the family of straight lines passing through (0,-1).

A: To Obtain the differential equation of the family of straight lines passing through (0,-1).

Q: A student carrying an influenza virus returns to an isolated college campus with 1,000 students.…

A:

Q: Consider the differential equation y' 2x - (A) At the point (- 1, 0.5), the direction field has a…

A: Given , differential equation y'=-2x. a. We need to calculate the slope at point (-1,0.5) Slope…

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A: Given:    mg = 2    s = 1.5 inches = 1.5/12 = 1/8 feet     g = 32

Q: Solve the differential equation by variation of parameters. 1 2y = 2 + ex y" + 3y + 2y =

A: y'' +3y' +2y=12+exA second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: Verify that the general solution satisfies the differential equation. Then find the particular…

A: Given general solution is 3x2+2y2=C.......(1) Differentiating it with respect to y…

Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

Q: Obtain the differential equation of all straight lines with alebraic sum of the intercepts fixed as…

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Q: Now the differential equation at (2, 37) is dy y-37 = dx X- -2 Now the differential equation at (3,…

A: We know, a differential equation is said to be autonomous if it does not explicitly contain the…

Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?…

A: This is Separable differential equation

Q: (2x+3y-5) dx + (3x-y-2) dy=0 hint: Case 2

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Q: a. Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: Write general equation first of given conditions.

Q: Find the general solution of the differential equation or state that the differential equation is…

A:

Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.

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Q: xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

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Q: The differential equation (2x' - xy - 2y+3 dx- (x²y+2xdy = 0 is exact because OM ON

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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.