2xy' = 2 tan(y) + (y')' (cosy)? %3D

Q: What is the general solution to the differential equation (tan x)dy - (4y In y - y tan³x)sec²x dx =…

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Q: Form the differential equation by eliminating the constant 'a' from r=2a (sin 0- cos 0)

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Q: 9. From the differential equation sinh 2x, sketch some of the family of curves. %3D dx

A: Given differential equation, dydx=sinh(2x)dydx=e2x-e-2x2∫dy=∫e2x-e-2x2dxy=e2x+e-2x4+C

Q: i. Determine the general solution of the above differential equation.

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Q: By using suitable method, form an ordinary differential equation by eliminating constant A from the…

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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: Show complete solution Obtain the differential equation associated with y=Ae2x+Be2x+Ce3x

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Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: [cos y + 1]dy + [tanx (siny + y)]dx = [sin y cos x + y cos x]°dx gettyimages When:x = 0;y=

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Q: y = 2xy -x

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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: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

A: Giveny=Asin(2x)-5cos(2x)   ----{1}

Q: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

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Q: y = C, x? sin 4x + C2x² Cos 4x

A: The equation is y = C1x2sin4x+C2x2cos4x

Q: Obtain the differential equation associated with the given non-derivative equation in x and y. Show…

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Q: By using suitable method, form an ordinary differential equation by eliminating constant A from the…

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Q: Can you please solve for the PS/GS of this differential equation and pls indicate what kind of…

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Q: A nomal is drawn at a point P(x, y) of a curve, it meets the x-axis at Q. If PQ is of constant…

A: Equation of normal at the point P(x,y) to the curve is Y-y=-dxdy(X-x). ⇒X=x+ydydx Thus,…

Q: y > Ae* +Be* +ce; A,B and c unstant are

A: As per our guidelines we can solve only one question at a time please upload unsolved question…

Q: Find the general solution of the differential equation = 6 tan(5y) using separation of variables. dx…

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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: 4. y" +2y'+ = cos a COS

A: We will solve the problem

Q: Use separation of

A: Given,                     7dydθ=eysin2θysecθ.

Q: 1. What is the integrating factor of the differential equation ydx – xdy = 0 using case 1?

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Q: xcosydy + sin2ydy – dx = 0

A: First arrange it in the bernouilli equation then find its integrating factor. Then  use the formula…

Q: -ka dt2 Sdlve the differential equation and express the X func tion of trieonometrie func tion as

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Q: verify that the indicated function is an explicit solution of the given differential equation…

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Q: Form the differential equation by eliminating arbitrary constant  y=Ae-3x+Be2x

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Q: What is the order of the lowest order homogeneous differential equation which has a particular…

A: Given particular solution y=x2+exsinx2 We have to find the order of the lowest order homogeneous…

Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

Q: 3. ydx+(1+x)arctanx dy= 0

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Q: Obtain the differential equation associated with the given non-derivative equation in x and y. y =…

A: Given that obtain the differential equation associated with the given non-derivative equation in x…

Q: Find the solution of a given non-homogeneous differential equation using the variation of…

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Q: Solve the first order linear differential equation. dy - (cotx)y = sin³ | dr

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Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

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

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Q: 1. Find the differential equation of the family of circles of radius r whose centre lies on the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: Find the Differential Equation of (sin2x-2ycosx)dx=2dy

A: First we compare given differential equation with dy/dx+Py=Q and find integration factor using…

Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

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

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

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Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: Use Teller's method to Solve the differential equation y-X JJ when h=0-2 s y(1)=2 Use The fifth rank…

A: We can solve this using Taylor method

Q: y'tanxsin2y = sin²x + cos²y

A: Assume t=cos2y then differentiate both side with respect to x to find dtdx .…

Q: From the differential equation by eliminating the arbitary constants A and B from the equation…

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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.