y’ + xy = xy^3

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

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Q: A curve passes through the point (2,0) has gradient dy at point (x, y) that satisfy the dx equation…

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Q: dx dy dz y +z X + y X +2

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Q: order linear differential eq 22. y'+ 4y = x

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Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

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Q: What is the integrating factor for the linear differential equation 2(y - 4x^2) dx + x dy = 0?.

A: Given:  2(y - 4x^2) dx + x dy = 0

Q: Find the differential dy of y=√x. Show complete solution

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Q: (3nny-5x)dx+ 2x*cotydy = 0

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Q: 4. |1- sin2y dy 6. y +2)/y- 1) dy (y + 2)/y

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Q: (3) y = ln¯' væ

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Q: a. Circle of radius 1 and centers on the line y = x

A: The solution is given as

Q: (xy-4lnx+x^2sinx^2)dx+x^2dy

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Q: . Find P.S. of (16x +5y) dx + (3x+y) dy = 0 of the curre to pass thru the point (1,-3) 2. Find P.S.…

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Q: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

Q: What is the differential equation of the orthogonal trajectories of x3 = Cy? www (1) 3xdx + 2ydy = 0…

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Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

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Q: Form the partial differential equation by eliminating the arbitary function from z = xy + f(x² +y°)

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Q: Differentiate. y =x° In x- dy II

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Q: Determine the integrating factor xydy - (y2-3x2)dx = 0

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Q: find the soution of' the differential eq. System X= 3X+44 9=X+3y %3D

A: Given differential equations are                                     dxdt=3x+4y,dydt=x+3y…

Q: ex 1. y" – 2y' + y = x5 when y(0)=1; y'(0)=2 %3D

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Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: The given equation is 3xey+yex=4

Q: 2. dx + 2x dy/y 2x2 y2 dy

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Q: dx 2.

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Q: What is the c value obtained for the special solution of the equation under the initial condition y…

A: Here we have to find constant of integration c.

Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation.

Q: (3+y +2y² sin2x) dx + ex + 2xy -y rin 2x) dy=O

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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: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x

Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: solve using homogenous and exact. (2x-3y)dx+(2y-3x)dy=0

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Q: These equation classifies by dy 3 +5x y dx' tan x dx Ordinary Differential Equation O Partial…

A: By see tha solution of this question

Q: Solve for the differential of y when y=sinxx: x=-, and dx 3 2 2 2 4

A: y=sinπx, x=13, dx=12

Q: Give the integrating factor for 3((y^4)+1)dx+4x(y^3)dy=0. (in terms of x)

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Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

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Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

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Q: by

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Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.

A: We try to identify and group terms and integrate.

Q: {dy}/{dx} for y=4sin^{-1}(x^2)

A: The explanation of answer as follows

Q: 4) dy dy dz 5) dy dy

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Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation

Q: 1 dy if y = dx -1 Find - tan 3x. dy dax

A: Use derivative formula

Q: Find dy/dx by implicit differentiation. 3x2 + 5xy - y2 = 4 dy/dx =

A: Given; 3x^2+5xy-y^2=4 dy/dx=?