2. y(x2 + y? – 1)dx + x(x² + y? + 1)dy = 0 %3D

Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: 10. 2ste tds +(s²e-t - t)dt = 0

A:

Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: y = C¿e* + cze¬× + 3x

A:

Q: 5. (y – x)(y + x)(y² + x²)(xdy – ydx) = x°dx

A: Given that, y-xy+xy2+x2xdy-ydx=x6dx. The above differential equation can be re-written as,…

Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

A:

Q: Solve the following differential equations: 1. y(lnx - In y) dx = (x ln x - x ln y - y) dy

A:

Q: m = -2+3i, -2 - 3i y' +6y = 24 y"- 36y = e*

A:

Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: (2+x²)y" + xy + 4x²y <=0 Compute the recursion formula for the coefficients of the power series…

A:

Q: dy 1. tanxsin2y = sin²x + cos²y - dx

A:

Q: 1) Find the general Solution for the following differential equation. +²y²-7ty=-y² 2

A:

Q: y (t) = cie' + czet – 3te + cos t –

A:

Q: d³u 2 dr5 d*u - 7- dr4 + 12 d³u dr3

A: The differential equation is given 2d5udr5-7d4udr4+12d3udr3+8d2udr2=0. Here ,s=ddr then equation…

Q: dy (x – 3x²y). %3 ху? + у dx

A:

Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: 2y' =√x + 2y + 1|

A: Given differential equation is By substituting [ differentiating both side with respect to x ]Thus…

Q: From the differential equation dy = x2 dx, what is the equation of y in terms of x as the curve…

A: Given: dy=x2dx

Q: O y"+y= secx cosecx %3D

A:

Q: 4. t dv + (v – v² ln t)dt = 0

A:

Q: 4. x" +x=e¹+¹_

A:

Q: Consider the differential equation: 1+ y² xy+y³+y dz This differential equation is not linear in y,…

A:

Q: 2) (3x²y – sin y)dx + x(x² – cos y)dy = 0 |

A: