Partial Differential Equations
Trending Questions
Q. Let y(x)+y(x)g′(x)=g(x)g′(x), y(0)=0, x ϵ , where, f′(x) denotes df(x)dx and g(x) is a given non-constant differentiable function on with g(0)=g(2)=0. Then the value of y(2) is
Q. The equation dydx+dzdxsinx=0 is a partial differential equation because we are differentiating independent variables y and z partially in this differentiation equation
- True
- False
Q. Find the equation of a curve passing through the point (0, 0) and whose differential equation is .
Q. Differentiation gives us the instantaneous rate of change of one variable with respect to another.
- True
- False
Q. The equation dydx+dzdxsinx=0 is a partial differential equation because we are differentiating independent variables y and z partially in this differentiation equation
- False
- True
Q. Find the particular solution of the differential equation ex√1−y2dx+yxdy=0, given that y=1 when x=0.
Q. Solve the differential equation: (x+2y3)dydx=y
- x=y(y2+c)
- x=y(2y2+c)
- None of these
- x=2y(y2+c)
Q. Verify that y=Cx3 is a solution of the differential equation xy′−3y=0 for any value of C. Then
find the particular solution determined by the initial condition y=2 when x=−3.
find the particular solution determined by the initial condition y=2 when x=−3.
- y=−227x3
- y=227x2
- y=−225x3
- None of these
Q. The equation dydx+dzdxsinx=0 is a partial differential equation because we are differentiating independent variables y and z partially in this differentiation equation
- True
- False
Q. The equation dydx+dzdxsinx=0 is a partial differential equation because we are differentiating independent variables y and z partially in this differentiation equation
- True
- False
Q. The general solution of the differential equation dydx=ex+y is
Q. The number of integral solutions (x, y) of the equations x√y+y√x=20 and x√x+y√y=65 is :
- 0
- 1
- 2
- None of these