Differential Equation questions
503 published questions with worked solutions.
- If dy dx =y+3 and y(0) = 2, then y(log 2) =
- The general solution of the differential equation (x+y) dy dx =1 is
- The differential equation of 3y= [3] x+c is
- A spherical balloon expands at a rate proportional to its surface area. Initially its radius is 2 cm and 5 minutes later it...
- The solution of the differential equation dy dx = x+y x-y is
- If dy dx =y+5 and y(0)=4 then y( 2) is equal to
- The solution of (1+xy) ,y ,dx+(1-xy) ,x ,dy=0 is
- The solution of the differential equation e^ -x (y+1)dy+( ^2x- 2x)y ,dx=0 at x = 0, y = 1 is
- Rate of increase on bacteria in a culture is proportional to the number of bacteria present at that instant and it is found that...
- The particular solution of differential equation e^ dy dx =(x+1), y(0)=3 is
- If the slope of the tangent of the curve at any point is equal to -y + e^ -x , then the equation of the curve passing through...
- The differential equation representing the family of curves y^2 = 2c(x + c ), where c is a positive parameter, is of
- General solution of the differential equation x(1+ y)dx- y ,(1+ x)dy=0 is
- The differential equation of y=e^x(a x+b x) is
- The solution of the differential equation e^ -x (y+1)dy+( ^2x- 2x)y ,dx=0 given that y = 1 when x = 0 is
- The order and degree of the differential equation 3- ( d^3y dx^3 )^ 7/3 = ( dy dx )^5 are respectively
- A spherical mothball has initial radius 3 cm. Due to evaporation, the radius of the ball reduces to 1 cm in 4 months. In how many...
- The solution of dy dx = (x+y)+ (x+y) is
- The solution of the differential equation x^2 dy dx -xy=1 is…
- If the differential equation vmatrix f(x)&f'(x) '(x)&f''(x) vmatrix =0 for all x and f(0)=1, f'(0)=2, then
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