Advertisements
Advertisements
प्रश्न
Solve the following differential equation:
`("d"y)/("d"x) = sqrt((1 - y^2)/(1 - x^2)`
Advertisements
उत्तर
The equation can be written as
`("d"y)/sqrt(1 - y^2) = ("d"x)/sqrt(1 - x^2)`
Taking Integration on both sides, we get
`int ("d"y)/sqrt(1 - y^2) = int ("d"x)/sqrt(1 - x^2)`
sin–1y = sin–1x + C
APPEARS IN
संबंधित प्रश्न
Find the equation of the curve whose slope is `(y - 1)/(x^2 + x)` and which passes through the point (1, 0)
Solve the following differential equation:
`("d"y)/("d"x) = tan^2(x + y)`
Solve the following differential equation:
`2xy"d"x + (x^2 + 2y^2)"d"y` = 0
Choose the correct alternative:
The general solution of the differential equation `log(("d"y)/("d"x)) = x + y` is
Solve: `("d"y)/("d"x) + "e"^x + y"e"^x = 0`
Solve the following homogeneous differential equation:
`x ("d"y)/("d"x) - y = sqrt(x^2 + y^2)`
Solve the following homogeneous differential equation:
The slope of the tangent to a curve at any point (x, y) on it is given by (y3 – 2yx2) dx + (2xy2 – x3) dy = 0 and the curve passes through (1, 2). Find the equation of the curve
Solve the following:
`("d"y)/("d"x) + y/x = x"e"^x`
Choose the correct alternative:
The integrating factor of the differential equation `("d"y)/("d"x) + "P"x` = Q is
Choose the correct alternative:
The differential equation of y = mx + c is (m and c are arbitrary constants)
Choose the correct alternative:
Solution of `("d"x)/("d"y) + "P"x = 0`
Choose the correct alternative:
Which of the following is the homogeneous differential equation?
Solve `x ("d"y)/(d"x) + 2y = x^4`
Solve (D2 – 3D + 2)y = e4x given y = 0 when x = 0 and x = 1
Solve x2ydx – (x3 + y3) dy = 0
