Solve for y:  x = y2 - 1, y ≥ 0

Q: Find, the genetal Solution of the differehtial equation (2x+Y-3) dy= (f+2Y-3)dX

A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…

Q: Solve (x + y)² dy = a

A: Topic- Differential Equation

Q: Is y = e-x + 2xe-* a solution to y" + 2y' + y = 0.

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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Find d2y/dx2 implicitly in terms of x and y. xy − 1 = 2x + y2

A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

Q: Solve x+ ye dr- xe dy = 0, y(1) = 0 %3D

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Q: Q3: Solve (x + y)dx - x dy = 0

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Q: If y = f(x) is the solution of y' – 3y =-12.e 9z, f(0) =1, then

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Q: If y2 is negative, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: If y2  is negative, then y1+y2  will lie _______ y1  by a distance equal to ____.

Q: Let y(x) be the solution for the DE : y' = (x + y – 1)² If y(0) = 1, then find y()

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Q: Solve the DE y'=(x+y+2)^2, y(0)=2 by setting u=x+y+2.

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Q: (x + у—4) dx — (х — у+2)dy %3D 0

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Q: Let y(x) be the solution for the DE : y = (x + y – 1)2 If y(0) = 1, thenfind y(4)

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Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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Q: Verify that y = c is (1+ce') (1– ce') is a solution to y' = + (v² – 1) , where some constant.

A: For verifying given thing, we find solution of given differential equation Now, for finding solution…

Q: Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

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Q: Solve the following equation by using separation variable method: y(x,0)=10 t> 0 y, (0,1) = y,(7,t)=…

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: Given that d²y 2. +y =0. dx2 Show that y = x is not Solution a

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Q: 16- y? V16 - x2 x dx dy 2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Identify f(x) to be used in variation of parameters to solve for y, e" y" + y' – 3y = x

A: To find f(x) write equation in form of y" + P y' +Q y = f(x).

Q: Obtain the general solution. (xy + x) dx = 2 2 y + x + y¯ +

A: The given differential equation is…

Q: dy 15 +4y-042

A: ∫115+4y-4y2dy

Q: Solve: dy dr = y +e*y?

A: The given differential equation is dydx=y+exy2. Rewrite the differential equation as,…

Q: (b) Solve y" + e*yf + (1 + x²)y = 0, %3D x = 0, if y(0) = 1; y'(0) = 0. %3D

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Q: lax +3y-5) dx + (3x-y -

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Q: [1+ (x + y)²]dx + [1+ x(x + y)]dy = 0

A: Given: 1+x+y2dx+1+xx+ydy=0

Q: determine the general solution of the equation. x(y'-x)dx-y(y'+x)dy=0

A: we will integrate this equation and find the solution of the equation

Q: Solve for the particular solution: dy = y + Vr2 – y?, y(2) = 0 %3D - da

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Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: Solve for y. y' = 7x + xy​; y = - 4 when x = 0

A: Given,  y'=7x+xy,  y=-4 when x=0

Q: Find the general solution. dy/dx=15-y y=

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Q: How / Find the solution for the equation @ y√ √ x² + y ² dx = x (x + √x² + y²) dy 1

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

Q: dy Solve 4(y- 16), y(0) = 11 dt y(t)=

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Q: dy 1- S V9+y2

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Q: Solve for dy when y = + 3x, x=2 and dx =0.5

A: The given problem is related to total differentiation.

Q: Solve t-r sec'y= 2g tan y,

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Q: Find y = (2x²² -6) ⁹ dy اده

A: We can find the derivative as below.

Q: If y = x*+2 then y' at x = 1 is equal to

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Q: Solve y' + 3x?y = .2, sin(x)e-° with y(0) = –3. -x3

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Q: Find the complete solution: 16) = x2 – 2x – 4, y= -6 when x= 3 | dx

A: ∫xn dx = xn+1n+1+C

Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: Find the solution of: dy 2y 3x when x = 1, y = -1 dx 2у + ||

A: A differential equation of first order is said to be homogeneous if it is of the form dydx=Fyx. It…

Q: Solve for the General Solution. ( x csc y/x-y) dx + x dy = 0

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Q: Q2: Solve: dy_ (1- y)x².Inx yf-1 dx 03-

A: NOTE: Hi! Thank you for your question. As per the honor code we'll answer the first question since…

Q: Solve the IVP d'y = 4sec 2x tan 2x, y' (0) = 4, y(0) =-1 dx2

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Q: Solve (y- Vx² + y² )dx – xdy = 0 When: x= 0, y = 1

A: Explanation of the answer is as follows

Q: Solve the IVP for y(x): dy 3 -y = 18y*, y(1) = 1 da y(x)

A: To solve the question given below.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.