Solve the following using the method of solving other substitution methods dy 2. dx sin(x – y)

Q: d² dx dx 3. di² +2 +5x = sin 21, given that when t = 0, x = 3 and dt dt 53 [ 55 Ans. e 17 cos 2t + -…

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Q: b) 3ry? + cos y? = 2r3 + 5.

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Q: Solve the following DE: dy - 5y = 0 dx

A: The given differential equation is  a first order linear differential equation in variable separable…

Q: B) Find the general solution of the equation by using (Undetermined Coefficients method) d'y dy de =…

A: Solution of the differential equation using undetermined method

Q: Solve the following equation for the given conditions y(0) = -1,y'(1) = 2 d²y dy + 4 dx :+ 4y = sin…

A: Given differential equation is d2ydx2+4dydx+4y=sin2x+cos2x      (1) with y(0)=-1, y'(1)=2 Auxiliary…

Q: SOlve the following D.E (x* +1) dy+(2xy+1) dx=0

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Q: Obtain the general solution of the following equations: sin y(x+sin y)dx+2x2cos ydy=0

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Q: Solve the following by Substitution Method. (show complete solutions) a.) y(x tanx + ln y)dx + tanx…

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Q: Solve the following problems with complete solutions in a clean sheet of paper/bond paper. See…

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Q: Solve the following examples 4. (2.xy – sin x)dx + (x - cos y)dy = 0

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Q: Integrate the following using the substitution method. a) Te* cos e dx 2x+1 3x² +3x

A: We will use substitution method to evaluate these integrals.

Q: Solve the following D-E dx 5) dy 2y

A: Answer:-  Given differential equation                        dxdy-x2y=-12cosy x3→             i…

Q: Answer the following neatly and completely. Find dy/dx. 1.y = sin(x²e3*) 2.y = In (tan x?) .xcos y –…

A: Chain Rule of Differentiation : If we have y=f(u) and u=g(x) then dydx = dydu·dudx

Q: e) tan 5y – y sin r+3ry? = 9.

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Q: Solve the following equation using Bernoulli D.E. b. Alternative method dy + 2 = y? dx 4.

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Q: (x² + 6y²)dx – 4xydy = 0,x = 1, y = 1 -

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Q: dy 29 + y tan x: dx 1 (4x + 5)? y³ cos x

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Q: Solve the following using the method of solving other substitution methods dy x+ y- 1 dx 3.

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Q: Find the general solution to each of the following DEs, showing work- ing dy (a) -x = xe dx dy (b) =…

A: (a) Given differential equation is dydx=xe-x Given differential equation can be written dy=xe-x dx…

Q: 1 y Solve the integral: cos -dy dx - T/2 Jo

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Q: Find dy/dx for each of the following. Do not simplify your answers. (d) y = (In x)tan æ (x + 4)4 (4x…

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Q: dy Consider the IVP dx (2y – 3x)?, y(0) = 0.

A: Consider u as 2y-3x. Differentiate both sides of the equation u=2y-3x to obtain the expression of…

Q: Solve the following bernoulli equation dy/dx +y/x =xy^2

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Q: Find the particular solution for the following D.E using undetermined coefficients method. y" – 4y'…

A: The solution is given as

Q: y iii) xy" + y' + (sec(ln x)'

A: To find the general solution of given DE first we multiply both side by x, by which it will become…

Q: Consider the following. 2y dx – x dy = 2 dx Solve for dy dx dy dx Is y - 3x2 + 1 a solution to 2y dx…

A: We have,  2ydx-xdy=2dxxdy=2ydx-2dxxdy=(2y-2)dx

Q: 12. Solve the following first-order equations: dy а. = 4x/y, with y(0) = 1 %3D dx

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Q: Solve the following D-E 1) y' +y = sinx dy 2) x - 2y = x°cos4x dx dy 3) x = y + x³ + 3x² – 2x dx

A: **As per bartleby guidelines we are allowed to answer only 1 question or 3 sub parts at a time.…

Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: d) r- cos r + +3r = 4r3. %3D

A: the given implicit function is: x-cosx2+y2x+3x5=4x3 we have to differentiate the given implicit…

Q: Find the general solution to each of the following DEs, showing work- ing dy (a) = xe dx dy (b) = xe…

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Q: Find the primitive solution to the following DE using the appropriate method. y(1+y?) · dx…

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Q: 4 dy 5. х dx + бу %3D 3хуз 3xy

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Q: 3. Show that the equation (x²y)dx + () dy = 0 is exact and then solve it.

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Q: Solve the following 1 1) y dx + x² + y? dy = 0 x +y 2) (3x? In x+ x² –y) dx- xdy = 0, y(1) = 5 dy…

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Q: Solve the following using the method of solving Bernoulli Equations. dy + y = e*y=2 dx

A: We need to solve the given differential equation by using Bernoulli's method.

Q: dx = x[4 + 3xsin(ay)cos(ay)] dy

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Q: 1. Solve for y of the Separable D.E. sinx dx + y dy = 0

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: Q) Find the general solution. dy sin-1x Iny dx II

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Q: II. Solve the following first order DE. (x² + y²)dx + xy dy = 0 4.

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

Q: d?y dx2 dy 15. Solve + 3+ 2y = 3 sin x, given that when x 0, y = -0-9 dy dx and = -0-7. dx OFer

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Q: 6. (2xy + y) dx + (x? - x) dy = 0.

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Q: Find the general solution of the following equations? dy 1- x². x2 + sinx – y = 0 dx

A: Given differential equation is

Q: 2. Given xy? =Sinlyz find dź/dk

A: We are given: x2+y2+z2=sinyz Differentiating both sides with respect to x, we have…

Q: Solve the given DE: dy e* – 2x cos y eу — хx2 sin y' dx ||

A: Differential equations is solved.

Q: 1. Solve the following equation dy dx x = x² + 3y, x>0

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Q: 4. Evaluate the following and give the exact value: m/2 (cosy sin(y + z) dz dx dy /6 Show your…

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Q: Find the general solution to the following equations: dy 2+ tan y dx

A: The given is the differential equation which can be solved as shown in step 2.

Q: II. Determine the solutions of the following DE. 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D0

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…