1 Crore+ students have signed up on EduRev. Have you? 
Differential equations are equations containing functions y = f(x), g(x) and
Differential equations are equations containing functions y = f(x), g(x) and derivatives of y with respect to x.
General solution of a given differential equation contains arbitrary constants depending on the order of the differential equation.
Differential equation of the family of circles touching the yaxis at origin is
Which of the following is a homogeneous differential equation?
y^{2}dx + (x^{2}− xy − y^{2}) dy = 0 is a homogeneous differential equation ,because the degree of each individual term is same i.e. 2.
Order of a differential equation is defined asthe order of the highest order derivative ofthe dependent variable.
Particular solution of a given differential equation
Particular solution of a given differential equationdoes not contain arbitrary constants i.e. a,b ,c etc.
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
A first order linear differential equation. Is a differential equation of the form + Py = Q or + Px = Q
Degree of a differential equation, when the equation is polynomial equation in y′ is
Degree of a differential equation, when the equation is polynomial equation in y′ isHighest power (positive integral index) of the highest order derivative in the given differential equation.
The number of arbitrary constants in the general solution of a differential equation of fourth order are:
4 , because the no. of arbitrary constants is equal to order of the differential equation.
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
2
The number of arbitrary constants in the particular solution of a differential equation of third order are:
0 , because the particular solution is free from arbitrary constants.
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.
3
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).
Let P be the principal at any time t. then,
When P = 100 and t = 0., then, c = 100, therefore, we have:
Now, let t = T, when P = 100., then;
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.
When x= 0 and y =  2 ,we have : c = 2,
209 videos209 docs139 tests

Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 
209 videos209 docs139 tests









