(4x³y – 15x² – y )dx +(x* +3y² – x)dy=0 — ydx + (x ++ ху jdy 3D 0

Q: au au = xt at (x > 0,t > 0) ax u(0, t) = 0 u(x,0) = 0

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Q: (3y2 + 5x²) dx + 2xy dy = 0

A:

Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

A:

Q: y" +9y' = 9 tan 3x

A: The solution is given by using method of variation of parameters as follows

Q: Solve the differential equation. dy = 5x* e -y dx

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Q: (2xy + 3y³)dx + (x² + 9xy²)dy = 0

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Q: (X) Question 14 Which trigonometric function matches this graph? V HUI -21 0/1 211

A: B. The graph of  y= csc x +2 is as follows

Q: Solve the homogenious differential equation Cy²+4y+4y=0; ylo)=1, y'(0) = 3 2 2 ⑤[ +² D² + 5 + D…

A: The homogeneous  differential equation is:The aim is to solve the homogeneous differential equation.

Q: (x² + 2xy- 4y?)dx- (x² – 8xy– 4y²)dy=0 | O x² + 4y² = C(x + y) O x2 +y2 = C(x+ 4y) O x2 + 2y? = C(x…

A: Solution(x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0dydx=x2+2xy-4y2x2-8xy-4y2(∙)this differential equation is…

Q: 3. y' = 2xy²,y(2) = −1 d

A:

Q: d²x dt² solve for x. 2 + w³²x = F sin wt

A: Given differential equation isd2X/dt2  + w2X = F0 sinwt

Q: 1. (у — 2)dx — (х — у — 1)dy %3D 0 |

A: