dy 1+y3 Determine the solution for the given DE: + = 0 dx xy?(1+x²)

Q: Find the general solution for (y + 1) dx + (4x - y)dy = 0

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Q: dy Find the General and Particular solution of dx 3y; y=3, when x=0

A: The differential equation is given as dydx = 3ydyy = 3dx∫dyy = 3∫dxlny = 3x+lnAlny-lnA = 3xlnyA =…

Q: dx x2+y?, dt dy 2, find dt dL when x = dt If L = V -5, and 7 and y = 6. dL dt

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Q: d y = -4 at x= 0. dx dy +2- +5y=0, where y = 2, dx dx

A: We have, the given differential equation as d2ydx2+2dydx+5y=0 Therefore, D2+2D+5y=0 Thus, auxiliary…

Q: dy/dx = (xy + y^2 + x^2)/(x^2) Finfd the solution of the above equation using a suitable…

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Q: dy at the given points. dx Find 5. x + 4xy + 2 y² + 3 = 0 .2 at (2,–1).

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Q: d"y Q5 dx * - 5 d³y +74 – 3y = 20 sin(x), y(0) = - 1, y'(0) = 2, dx use the method of Variation of…

A: This is 3rd order first degree non homogeneous ordinary differential equation.

Q: dy dx\, Given that x = t e and y = 1² e“ +1¸ Find = - 1

A: We have to find derivative at that point

Q: Q1: Answer of all branches Find :- "x ear" dx 2) I= yie-y dy 3) I= x*e-2* dx 1) I= ax 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: x + y' - 2xy = 5 dy 31 - find the value of dx at x=2 and y=1. O A) 4 B) 0 OC) 3 OD) 1 OE) 2

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Q: 46 Given that x=- VI+r , where t is a non-zero parameter. and y = dy_1+r a. Show that dx b. Find- dx…

A: Given that x = 11+t2 and y = 1 + t2t To find dydx: need to find dxdt and dydt Needed formula: (uv)'…

Q: Find the sloution of the given DE dy Y – x - y(0) = 1, h= 0.1 at = 0.5 dx y + x Уехаct ? (find the…

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Q: dx 2. Find the value of at y=1 if x=z³+4z and z= (y² + 2y)²/³. dy

A: We have to use chain rule while differentiating.

Q: Q1: dy Find the particular solution of 5 dx? 5+9- 2y =3e* given that when x = 0, y = áp 6 dx - and…

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Q: (* -) dz if y = Find the particular solution for dy = when x = 0. | x +1 Answer and Work Explanation…

A: We have to find the particular solution of the given initial value problem dy=x2-1x+1dx with the…

Q: dy Find the value(s) of dx at y=1 given that x2y+y2 5. ony A only -클 only 3. D 2/3

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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: dy 1. Obtain from the following. dx 3at? y = 1+t3 3at x = (a is constant) 1+t3

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Q: Exact DE se: he particular solution of (x + y)dx + (x – y)dy = 0 when x = 1 & y = 1.

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Q: dy_2y 1. Verify that x'sinx is a solution of -2-y = y cot x dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 7x 21 dy dx\x=2 ,where y = %3D Find x+1 Enter the exact answer. dy dx\x=2 %3D

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Q: Sin²y dy V1 -x, given that y(-3) = 0. dx 2) Snow that the general solution for (x2 +x-6)dy = 4y dx…

A: Given that  The following differential equations

Q: d'y 10ay+25y = 0. dx? 1. Find the general solution for dx

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Q: Dse Runge - kutta method to Solve the equation: dly x +y %3D dx at x =0.8 given that using h= o.4 y…

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Q: dy +2(x+1)y² = 0 y(0) =-% Give the largest interval I on which the solution is defined. dx (6) 4. 8,

A: Given equation is: y'+2x+1y2=0, y0=-18

Q: dy Find a solution of x dx y2 - y that passes through the indicated points. (a) (0, 1) y = | 0

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Q: dy x2 (b) Find the general solution to the DE cos? y dx

A: As per our guidelines only one question can be solved. Solution for "b" is given below in the next…

Q: d’y_2dy 3 y=2sin°(x) dx Determine the general solution of 2 dx

A: We have to determine the general solution of the differential equation…

Q: dy Find the (explicit) solution for the IVP = x + e*, y(0) = 2. dx

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Q: D.E Poll owing (1+y)dx= (bany -x) dy Solve the %3D

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Q: Find the value(s) of dy at y=1 given that x²y+y² =5. dx only only D

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Q: Zy dx = (x?-1)L dx-dy) %3D

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Q: d²3 Find the particular solution of +16y=0 if given y(0) =1 and y'(0) = 0. +8 dx dx

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Q: Let y(x) be the solution of the IVP dy - (y - 3)'dx = 0, y(0)=2. Evaluate y(13).

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Q: dx Find the value of at y=1 if x=z³+4z and z= dy (y? + 2y)²/3.

A: Given,         x=z3+4z  and  z=y2+2y23

Q: dx 17. Given that x =e" and y = e+3 find in terms of x. dx 18 Differentiate to x and PSS VOur ar…

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Q: Find the solution of the this differantial equation. extan(y)dx + [(ex)/(x-1)]dy = 0

A: Hair we use the variable separable method to solve this equation.

Q: dy 3. given, y = sin[2tan-V then find 1+ dx

A: Given function is y=sin2tan-11-x1+x

Q: d'y dx di y (x,0)=sin Tx ,t=0,0 ≤ x ≤l 8 dy (x,0) Solve the equation and with y (0,1)=y (1,r) = 0…

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Q: dx Find the value of at y-1 if x-z+5z and z= dy (y? + 2y)2/3.

A: x=z3+5z  &  z=y2+2y23 Now put z=y2+2y23 in x=z3+5z, we get x=y2+2y233+5y2+2y23⇒x=y2+2y2+5y2+2y23…

Q: Find the sloution of the given DE dy y-x dx y + x = Yexact - y(0) = 1, h = 0.1 at x = 0.5 ? (find…

A: Introduction: Euler's method is a tool that is used to solve an initial value problem numerically.…

Q: Find the solution y=y(x) of dy +y dx subject to y(1) = 1.

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Q: Hello there, can I please get this question answered? Thank you!

A: Given:

Q: Hello there, can I please get these questions answered? Thank you!

A: Given- dydx=xy+4x+2y+8 To find- The solution of above differential equation.

Q: 2. Find the solution (implicit or explicit) dy (y+1) = 3sin(x). y(7)= 2 dx %3D

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Q: dy 1. Write down the formula for the general solution to + P(x)y = Q(x) , where y(a) is known. dx

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: 1. Solve for y3 using the method of successive approximation. dy =x+ y; y(1) = 1 dx %3D

A: The given problem can be solved by the following method,