fx' = 9x + 7y ly' = 2x + 2y

Q: 3) yy +x²(sinx)³ = y³cotx %3D

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Q: 3. y = C₁ + C₂ e-4x

A:

Q: cosy dx + (1 + e¯*)siny dy = 0

A: By separating the variables on each side  we can integrate them easily. Given, cosy dx+(1+e-x)siny…

Q: x = c, e" + cz e- 21 e" O x"- 2x'- 3x 8 e O x" + 2r'+ 3x = 8 e' O x" - 3x'- 2r 8 e O x"- 2x'+ 3x = 8…

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Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

A:

Q: 5. y" + y - sec z tan z

A: Given that, The DE is following, y'' + y = secx tanx We have to find the general solution of this…

Q: (D³ – 3D² + 2D)y e 3x | 1+ex

A: Solution:-

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

A:

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

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Q: Form the differential equation for the function x+2y=a sin3x-bcos3x

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Q: (e) y" – 4y' + 4y = 2x

A: To find the general solution

Q: Find general solutions of the differential equation

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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: EQUATION

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Q: d²y dx² 3 7 + 3y (dy) 2 + y ² (dy) ² 3 0 = 5x

A:

Q: y = C1+ C2cosx + C3sinx %3D

A: The given equation is, y=c1+c2cosx+c3sinx⋯⋯⋯⋯1 Differentiating with respect to x,…

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: (r+sin 0- cos 0) dr + r (sin 0 + cos 0) d0 = 0

A: (r+sinθ-cosθ)dr+r(sinθ+cosθ)dθ=0 lets rearrange and then integrate

Q: 4. t dv + (v – v² ln t)dt = 0

A:

Q: Day 0 1 People left in hotel (put initial value here - in this case, 100) 48 29 15 23456 852

A: The given table is  day People left in hotel 0 100 1 48 2 29 3 15…