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Form the differential equation of all the lines which are normal to the line 3x + 2y + 7 = 0.
Concept: undefined >> undefined
Form the differential equation of the hyperbola whose length of transverse and conjugate axes are half of that of the given hyperbola `"x"^2/16 - "y"^2/36 = "k"`.
Concept: undefined >> undefined
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Solve the following differential equation:
`"dy"/"dx" = "x"^2"y" + "y"`
Concept: undefined >> undefined
Solve the following differential equation:
`"dy"/"dx" = ("2y" - "x")/("2y + x")`
Concept: undefined >> undefined
Solve the following differential equation:
x dy = (x + y + 1) dx
Concept: undefined >> undefined
Solve the following differential equation:
`"dy"/"dx" + "y cot x" = "x"^2 "cot x" + "2x"`
Concept: undefined >> undefined
Solve the following differential equation:
y log y = (log y2 - x) `"dy"/"dx"`
Concept: undefined >> undefined
Solve the following differential equation:
`"dx"/"dy" + "8x" = 5"e"^(- 3"y")`
Concept: undefined >> undefined
Find the particular solution of the following differential equation:
`("x + 2y"^2) "dy"/"dx" = "y",` when x = 2, y = 1
Concept: undefined >> undefined
Find the particular solution of the following differential equation:
`"dy"/"dx" - 3"y" cot "x" = sin "2x"`, when `"y"(pi/2) = 2`
Concept: undefined >> undefined
Find the particular solution of the following differential equation:
(x + y)dy + (x - y)dx = 0; when x = 1 = y
Concept: undefined >> undefined
Find the particular solution of the following differential equation:
y(1 + log x) = (log xx) `"dy"/"dx"`, when y(e) = e2
Concept: undefined >> undefined
Find the particular solution of the following differential equation:
`2e ^(x/y) dx + (y - 2xe^(x/y)) dy = 0," When" y (0) = 1`
Concept: undefined >> undefined
Fill in the blanks :
Conjunction of two statement p and q is symbolically written as ______.
Concept: undefined >> undefined
Negation of “some men are animal” is ______.
Concept: undefined >> undefined
State whether the following statement is True or False:
The negation of 10 + 20 = 30 is, it is false that 10 + 20 ≠ 30.
Concept: undefined >> undefined
Assuming the first statement p and second as q. Write the following statement in symbolic form.
The Sun has set and Moon has risen.
Concept: undefined >> undefined
Assuming the first statement p and second as q. Write the following statement in symbolic form.
Mona likes Mathematics and Physics.
Concept: undefined >> undefined
Assuming the first statement p and second as q. Write the following statement in symbolic form.
3 is prime number if 3 is perfect square number.
Concept: undefined >> undefined
Assuming the first statement p and second as q. Write the following statement in symbolic form.
Kavita is brilliant and brave.
Concept: undefined >> undefined
