y = x - 2 y InU

Q: ди = c t > 0, 0<x<4

A: In this question, we solve the heat equation with the given boundary and initial conditions. here we…

Q: y′=y,y(0)=1

A: Use dy/dx in place of y'Then separate the variables.

Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: 1. (1 - x)y' = y?

A:

Q: Solve x*y"- 2x(1+x)y'+2(1+x)y= x'

A:

Q: Solve y" – 3y' – 10y = 0, y(0) = – 1, y'(0) = 16 y(t) =

A:

Q: Find y' and y". y = e4e* y' = y" =

A: The given equation is y=e4ex. Calculate the value of y' and y''.

Q: eliminate arbitrary constant, y=c^2t^2

A: This question is based on differentiating equation to eliminate arbitrary constant c.

Q: calculate y " and y "'. y = x5e x

A:

Q: 1) y"+y=x

A: Explanation of the solution is given below...

Q: im. JX-2 hーズトX

A:

Q: 1. Find y'. (2) y=

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: y" + xy' = 0, x0=0

A:

Q: (√t-9) dt

A:

Q: y' + ²-√√y = 0, y(1) = 0 x

A:

Q: y" -y = -2cost

A: Given differential equation: y''-y=-2cost

Q: 12y-y=e

A:

Q: Solve for y(x):

A:

Q: 9. y+x'y+yx' y+1

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

Q: 16. y = x - x

A: Given, f(x)=x3-x2 Differentiate the given function, we get, f'(x)=3x2-2x Again differentiate with…

Q: de = e² + 1 dr

A: we have to solve the given differential equation. ∫dxx2+1=tan-1x +c

Q: 17. y = sec( x+ 4

A:

Q: Solve y'=14xy−2x, y(0)=5 y(x) =

A:

Q: ' (x)) -1 6. у %3D (г — сot 1 (2)) (1 а)) (1 + csc 6. У y =

A: Use derivative rule

Q: 文 y" + zy' +y こe y 'l0)

A: Introduction: The Laplace transform is particularly useful for converting the solution of an…

Q: y +1 = x

A:

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = 1/(x + y)

A: We have given fx,y=1x+y We have to find ∂f∂x and ∂f∂y

Q: Y-1 x A

A:

Q: y"+y=sec³x

A: The given equation is: y"+y=sec3x

Q: 8. y=x2 %3D y = x

A:

Q: ∫ye^(〖-y〗^2 ) dy

A: Given: ∫ye(-y)2dy

Q: y = + x²cosx y + x

A:

Q: Sx² csch? x³ dx

A:

Q: y' = e2x + y – 1 %3D

A:

Q: 22) ΔΖΥΧ = ΔYZC X Z Y C

A:

Q: y = V – 1 coth² x

A: Explanation of the answer is as follows

Q: 2 y=x-3 y E

A: To draw the graph of given straight line, randomly select any two values of x and find corresponding…

Q: (1 + x)y' + y = 0

A:

Q: 3: x*y = e*

A:

Q: Solve : y = xy y(x2 + c) + 2 = 0 y(x² + c) – 2 = 0 Option 1 Option 2 (x2 + c) + 2 = 0 У(а + с) — 2…

A: Given,                y' = xy²

Q: y = X; a = 0

A: The derivative for the real function f, if limh→0 f(a+h)-f(a)h has a limit as h approaches zero this…

Q: Solve  y  =  x2 − 4x − 1 y  =  x − 8     (x, y) =

A: Given,

Q: Э 8. yx U(r) =

A: We want to plot the graph of U(r)= 1/r.   It means U(x)= 1/x

Q: Solve: y'''−5y''+33y'−29y=0 y(0)=−1,  y'(0)=−18,  y''(0)=−17 y(t)=

A:

Q: 1. y' + у %3D ех

A: Solution:

Q: y' = X 2 h

A:

Q: Differentiate y = xe у'3

A: Apply product rule. (uv)'=u'v+uv'