State whether the equation is ordinary or partial, linear or non-linear, and give its order and degree +k²x = 0 dt² (x² + y2)dx + 2xydy = 0 y"-3y' + 2y = 0 1. 2. 3.

Q: Solve (y2 + xy) dx - x2 dy = 0.

A: We have to find out the solution of the given differential equation

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

A:

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: dy = 2 yx + yx dx

A: Solve

Q: Solve x2y dx=(x3+y3) dy

A:

Q: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: Solve by separating variables (x-4)y dx-x³ (y²-3) dy=0

A:

Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

Q: x2y dx=(x3+y3)dy

A: Consider the given differential equation, x2ydx=x3+y3dy⇒dydx=x2yx3+y3 This is a homogeneous equation…

Q: 4x – 9y = 1 find the first derivative

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Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

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Q: F = (2+-1) dt

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Q: Find the dx/dy of 2x² + 4y² = 4.

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Q: Differentiate implicitly to find d2y/dx2.   3y2−xy+5x2=5

A: Differentiate implicitly to find d2y/dx2.  3y^2−xy+5x^2=5

Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: 22. y = sec 4(4+x³) 5

A:

Q: Solve: y(4xy + 1)dx + x(1+4xy – x³y³)dy = 0;

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Q: у %3D V1+ 2х (1 — х)-3

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Q: Solve

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Q: dy Y=2x² In x dx X

A:

Q: Solve xdx + (y – 2x)dy = 0.

A: