Solve the differential equation

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Question 1
Solve the differential equation (y + 1) dx + (2x - y) dy = 0

Question 2
Find the image of the point (2, 3, 1) in the plane 2x - y + z + 3 = 0

Question 3
In a triangle if then prove that the triangle is right angled.

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Question 4
If a,b,c are in GP and x,y are Arithmetic Means between a,b and b,c respectively, then prove that x,b,y are in HP.

Question 5
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km / hour more. Find the original speed of the train.

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Your work should be submitted in the well step by step formats outlined for each question in the assignment

Reference no: EM131139905

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Solve the differential equation : Question 1 Solve the differential equation (y + 1) dx + (2x - y) dy = 0 Question 2 Find the image of the point (2, 3, 1) in the plane 2x - y + z + 3 = 0
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