F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0 dy %3D

Q: Obtain the general solution por the di fferential equation %3D .(yd -x² )dy= 2xy dx %3D

A: Given; 1) y'=(x-y)/y. 2) (y2-x2)dy=2xydx.

Q: dy 1. Find for y defined implicitly by the equation dx tan(x'y) = 3x +y²

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Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0

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Q: Solve the following equation using integrating factors found by inspection. 2. y(x3 - y)dx - x(x3 +…

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Q: 1 dy 3. С + 2y = sin x when y(r) dx

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Q: H.W Find y' for y = e©osx * tan¯'(5x) * (5x² + 1) ?

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Q: Q.5/ A) Find dx for the following equation y = In(x2 + 4) – x tan-() %3D

A: Given equation is y=lnx2+4−xtan−1x2 We have to find dydx. Used Formula:- ddxlnx=1x ddxtan−1x=11+x2…

Q: f arctan y dy 3 f

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Q: A. Solve the following equation using integrating factors found by inspection. 4. xy(y2 + 1)dx +…

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Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

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Q: y to solve the following linear differe ] dy

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Q: dy dt y = (t tant) ¹ Find 11

A: y= (t tant)11 y= t11 tan11tUsing formula ( d(uv) = uv'+vu' )diff w.r.t "t"dydt=t11.11tan10(t) sec2t…

Q: dy 2х+y 9. Find the general solution: %D dx x-2y а. sec x + tan y b. ху" — у' — 0 с. х? — ху + у? %3…

A: Substituting y=vx

Q: A. Solve the following equation using integrating factors found by inspection. 3. y(x2 + y2- 1)dx +…

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Q: dx x- y- dy dx (Separation of variable) dy

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Q: Solve the following IVP. You may leave your answer implicit in y. dy = 0, (2.x+y³ sec² (x)+ (1+ 3y²…

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Q: olve the following initial value problem using variation of parameters: y" + 4y = cos 3x y(0) = 0,…

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Q: 3. Give the third approximate value for the equation y = x* – sinh-'(x) closest at x1 = 2.5 A.…

A: Given that, the function is fx=xx-sinh-1x. It is known that, the Newton's Raphson method is…

Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint…

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: Q1) Solve the following ordinary differentiai eyilation: (x + y)dy = dx

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

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Q: Q1: Find dy/dx for the following functions:- (1) e – 3* = x sinh y (2) tan-12 = (Inx' + y²)

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Q: 1 s S xe^ dx dy xy 0 0 –1 2.

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Q: (x³y³ + 1)dx + x*y?dy = 0

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Q: differentiate h(y) =tan(10y)/e^(4y) +1?

A: To Determine: Differentiate the given function:…

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 by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0 dy 2. = (-5x + y)² –…

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Q: The µ(x) that converts the equation below into an exact equation x dy (x*ev ++ (2x²e" + 1) = 0 y) dx…

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Q: Q1: Find dy/dx for the following functions (solve four only):- (1)5% + 5y = In sin-¹ ex (4) y =…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Q2: Find y(2) if D.E as give dy 2. +3y=sin 2x, y(0) = 6 dx Given

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Q: A. Determine the solution set of the following equations using variable separable. 1. xy dx + e*dy =…

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Q: 4. Find d?y/dx² for the following functions: a) y = sin x² cos 2x b) y = cos*(sec² 3x) c) y = x²(x³…

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Q: Check for exactness and obtain the general solution. 1. (2xy – tany)dx + (x2 – xsec?y)dy = 0

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Q: dy y- tan 1-The general solution of the diff. equation is dx x A- B- y = 20 C- not of the above

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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: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)…

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Q: 7. x(3xy - 4y + 6) dx + (x-6x?y?-1) dy = 0.

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Q: Find the solution of the following: 2. e2x (2cosy dx - sinydy) = 0; y(0) = 0 %3D

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the solution of the following: 2. e2x(2cosy dx- sinydy) = 0; y(0) = 0 %3D

A: The given differential equation is e2x2cosydx-sinydy=0 It can be re-written as…

Q: Check for exactness and solve (3.ry + y)dx +(x +.xy)dy = 0.

A: Given (3xy+y2)dx+(x2+xy)dy = 0 Compare it with M dx+ N dy = 0 Here M = 3xy+y2N = x2+xy This equation…

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: 4. Evaluate the following and give the exact value: t/2 rcos y(-y sin(y + z) dz dx dy n/6

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Q: of Solve the initial value problem xdy + dy= ydx, yca) =6 %3D df dx find the function fox) Given =…

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Q: Q8// find the general solution (tan-'x + (cotx)y)dx + (lnsinx)dy = 0

A: The differential equation is given as (tan-1x+(cotx)y)dx+(ln sinx)dy=0 Compare it with Mdx+Ndy=0…

Q: Solve the following using Integrating Factor by Formulas. 2. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0…

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Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)-pi/6. decimal…

A: differential equation

Q: Find the solution of the following IVP. * (ye)dx + (xe* + sin(y))dy = 0, y(0) = π

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Q: H.W Find y' for y = ecOS X + tan-(5x) (5x2 + 1)?

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Q: Classify and Solve the following x(dy/dx) + 4y = (x^4)(y^2) subject to y(1) = 1

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