Differential equations are equations containing functions y = f(x), g(x) and
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Differential equation of the family of circles touching the yaxis at origin is
Which of the following is a homogeneous differential equation?
Particular solution of a given differential equation
Find a particular solution of = y tanx; y = 1 when x = 0
Differential equation of the family of parabolas having vertex at origin and axis along positive yaxis is
A first order linear differential equation. Is a differential equation of the form
Degree of a differential equation, when the equation is polynomial equation in y′ is
The number of arbitrary constants in the general solution of a differential equation of fourth order are:
For the differential equation xy = (x+2) (y+2) find the solution curve passing through the point (1, –1).
Differential equation of the family of ellipses having foci on yaxis and centre at origin is
The number of arbitrary constants in the particular solution of a differential equation of third order are:
Find the particular solution of the differential equation log = 3x+4y, given that y = 0 and x = 0.
Find the equation of a curve passing through the point (0, 0) and whose differential equation is y′ = ex sin x.
In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2 = 0.6931).
Find the equation of a curve passing through the point (0, –2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.
209 videos443 docs143 tests

209 videos443 docs143 tests
