y" + 3xy' + y = 2x %3D

Q: The differential of y = (5x-6)e2z has the form | dy = (mx + b)e2# dz %3D Find the values of m and b.…

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Q: . (solve exact de) (2ysinxcosx - y + 2y?e*v* )dx = (x - sin?x - 4xye*)dy

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Q: 2) dy x+3y dx 2x

A: We will solve the problem

Q: Solve the homogeneous DE 3xy dx + (x^2 + y^2) dy = 0.

A: We will take the substitution y=vx, to convert it into separable variable form.

Q: + (4xy – 3x²) dy = 0, find an integrating factor of the form d equation. %3D

A: First we have to find integrating factor for given differential equation and with the help of…

Q: dy 2х + ху is separable. dx y2 + 1

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Q: dy y3 , У (0) : 1 dx 1– 2xy2

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Q: Solve the DE by Integrating Factors Found by Inspection 3 1. x dy - y dx = x¹ y dy + x³y² dx X

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Q: It represents the integration factor of the equation y (2xy +1)dx +x (1 + 2xy -x'y')dy = 0 1 Amount…

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Q: y, thên thế total differential of and y O df = 11 dr + 16 dy O df = 15 dr + 19 dy O df = 12 dr +18…

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Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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Q: Let y 5x? + 5x + 2. || Find the differential dy when x = 5 and dx = 0.3 Find the differential dy…

A: GIVEN: y = 5x2 + 5x + 2

Q: dy 1. dx x(2 In x+1) siny+y cos y

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve for the given DE: y(y^3-x)dx+x(y^3+x)dy=0

A: first we will check this is exact or not this is not exact then we will find its integrating factor…

Q: The integrating factor of the DE   y(2x - y + 1) dx + x(3x - 4y + 3) dy = 0 is

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Q: What is the integrating factor of the D.E. 2y dx + (x- sin vy) dy =0 ?

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Q: - 16y? – 16x – 16y = 0. dy at the point (3, dx ves to calculate

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Q: Find the differential dy. (а) у — ху5 xv5 – x dy = (b) y = (1+x)-9 dy

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Q: (b) Given that y(6x +1) e** = 1+ - In dy Find when x 0 and y=1. dx

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Q: y_x + y х х — 1 dx

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Q: 1 x 5xy dy dx 0 x2 ate the double integral.

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Q: w = In(x²+y² +z²) x = cost y = sint z = 4E

A: w=lnx2+y2+z2, where x=cost, y=sint, and z=4t. Find dwdt.

Q: The integrating factor of the equation 2y (x + y+ 2) dx + (y: – x: – 4x – 1) dy = 0 is: %3D

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Q: Solve using the integrating factors by inspection (y²-3-x) dy + ydx =0

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Q: dy For = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). dx

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Q: y = x2/3 dx 9.

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Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: What is the solution of the equation dey/dx=y/x+tany/x

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Q: i. Je* cos(4x) dx

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Q: (x² + 2xy – 4y²)dx – (x² – 8xy – 4y²)dy = 0 - %3D -

A: Consider (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0⇒ (x2+2xy-4y2)dx=(x2-8xy-4y2)dy⇒dydx=x2+2xy-4y2x2-8xy-4y2To…

Q: dy dx=? 3.

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Q: What is the integrating factor of the non- exact DE (4ху+ 3у?-х)dx+x\x+2y)dy %3D0 ?

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Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - х)dy %3D 0

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Q: dy + y =0 dメ 0 2) dx?

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Q: 3y dx dy 1.) Evaluate exactly: Va + y?

A: We will use double integration

Q: Find the differential dy for y = x2 - 4x + 6, then evaluate it when x = 2 and dx = 0.1

A: Differentiate the given curve y=x2-4x+6 w.r.t.  x use the power rule of differentiation i.e.…

Q: It represents the integration factor of the equation y (2xy +1)dx +x (1+ 2xy -x'y')dy = 0 " 1 Amount…

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Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: The value of the integral 1 2 x²y° dy dx is: 2..3 1

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Q: Solve the initial value problem. dy ху?- сosrsinx а. у (0) %3D 2 dx (1- x?)

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Q: dy at x=0. dx If y = (3x² + 4x + 5)(e* – cos 2x), then find %3D -

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Q: 30. cos(r + y?) dx dy 32. x²+ y² dx dy 2 y

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Q: Find the differential dy of the given function. Y=x+1/3x-2 Dy=?

A: Given, y=x+13x-2

Q: (9x² + y – 1) dx – (4y – x) dy = 0, y(1) = 0 - ben valor nuulo

A: Ffddhfjc

Q: x- y arctan (2) dx + x arctan () dy = 0

A: Given:  The given equation is    [x-y arctanyx)]dx+x arctan(yx)dy=0

Q: Solve the differential equation listed below:

A: Separate the variables.

Q: Find the integrating factor that makes the equation xy^3+(x^2y^2+1)dy/dx=0 exact.

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Q: dy 13. y(1) = e de ar(In y - Inr + 1)'

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Q: What is the integrating factor of the nonexact DE (4xy + 3y – x) de + æ (x + 2y) dy = 0?

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