y(0) = 1. Supported with solutions, summarize your results in a table and also compute ɛ for %3D each x. dy dx *= (1 + 4x)/y a. Analytically

Q: ху Solve *y - dy x+1 dx

A: Let Mdx+Ndy=0 Then the above equation is exact if ∂M∂y=∂N∂x. If the above equation is not exact,…

Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

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Q: 1 (x² - y²)² x+y valuate: ²₁₁² dx dy

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Q: What is the general solution of =? %3D dx y2+1 What is the general solution of (y + 1) = 2x? %3D…

A: (As per bartleby guidelines, for questions containing multiple subparts, only three subparts will be…

Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

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Q: 2.ly-x dx+ dy = 0

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Q: 1 1 d y dy 2 3 X - х —- %D dx dx

A: Topic = Differential equation

Q: (1)Find the general solution for (- x) dx – (-y) dy = 0

A: Here, the given differential equation is  (2xy3-x)dx-(3x2y4-y)dy=0

Q: Solve th D.E using Exact dx +(x² +3y* )dy

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Q: Q3 (d^2 y)/(dx^2) - 2dy/dx of Undetermined Coefficient) 20e^(-x) cos(x), y(0) = 0 = y'(0) (Use…

A: we have to solve given differential equation by using method of undetermined coefficient

Q: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: -2 (b). L (3 6. Evaluate (a). dx (Зе -0.1y dy x(ln æ)³

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Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

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Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: e dx 1- e2x (integration by substiution)

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: 51. The functions y = e* and y = x³e do not have elementary anti- derivatives, but y = (1 + 3x)e"…

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Q: Solver: y(ln(x))dx+(1+2y)dy=0

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Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: (4-y)dx +dy =O what is the of differantial general soluttion equation ?

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Q: Compare dy and ^y for y =-4x2-3 at x=-1 and dx=^x=-0.06. Give answers to four decimal places.…

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Q: e dx (1) S. 1-e2x (integration by substiution)

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Q: Find dy by Dx when y is equal to under root  2x²-5x+n whole cube

A: Given: y=2x2-5x+n3

Q: Use the Euler method with dx = 0.2 to estimate y(1) if y' = y and y(0) = 1. What is the exact value…

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Q: Find dy/dx of e*-e-x y = e*+e-*

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Q: dx 15. S (x²+36) ³/2

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Q: differentiatin, detamina dy of ; dx y= [at) (Xts) (a-z) (x-+)

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Q: Find the general solution of: dx+(1+x^2)cotydy=0

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Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: finel cly 0- ó cost +1nt) e e (cos Ø + Ssin ø)

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Q: Find the general solution of (x +1)3d²y dx? 1TE + 3(x + 1)² + (x+ 1)y = 6 ln(x +1). dy dx

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Q: Find a positive constant that satisfies the equation: ∫(1/x²+a²)dx=1    integration limits: [ 0,…

A: Consider the equation ∫0∞1x2+a2dx=1 We have to find the value of a Use integral formula…

Q: dy 1. Solve 2y - e dx

A: Given differential equation is dydx=2y-e3x. To find the solution. Solution: Given differential…

Q: Find the general solution of the equation: G + 6x) dx + (In x – 2) dy = 0 (x > 0) -

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Q: Q1: Find the Integration using Gamma Function Method: x*e-3xdx 0.

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Q: 'a-x - dx atx valuate

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Q: y=ln(θ+4) dy/dθ=

A: Given function :

Q: Q#2: Find the Numerical Integration of Jo xe2*dx with 1 step size.

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Q: Compare dy and Ay for y = -4x² – 3 at x=-1 and dx = Ax = -0.06. Give the answers to four decimal…

A: Given:the equation of y is y=-4x2-3 at x=-1  and dx=△x=-0.06To find:Find the value of dy…

Q: Solve using separation of variables xy^2 dx + e^x dy = 0; when x -> infinite, y -> 1/2.

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Q: 27. (x +4y³)dx dy

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Q: S16 – x2" Quiz: integrate the following equation x3 dx 16 -x2

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: Use integrating factors to solve (x² + y² + x)dx + xydy = 0.

A:

Q: related rates - find dy/dt where xy=10 and dx/dt = 02 and x = 5.

A: To find the rate of change of y with respect to t, under the given conditions.

Q: if y =(ln x +1)(2x3 -3x), then dy/dx will be _________

A: Use the formula of differentiation of product of two functions to solve this problem.

Q: 3x 6 1 -In xy dx e-In √x dx +dy +=dx = e-mxx y X

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Q: related rates - find dx/dt where x2 +xy - y2 = 20. dy/dt = 5 and x = 4

A: x2 +xy - y2 = 20Diferentiate both sides with resepct to t. While differentiating recall the:Chain…

Q: find dy/dx for y = -(3x^2 + 5x)^5.

A: solution is given below.

Q: 1. ſ e3*dx dx 2. S- ex+1 dx 3. S. x/x² – 1

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Q: Find dy/dx for ln(xy) + e2y - 5x = 30

A: Given: lnxy+e2y-5x=30

Q: Find dy/dx at the given point without first solving for y. x2 — бу — 37 %3D0 at (1, -6) | dy dx

A: This question is based on derivative.