Differential Equation questions
503 published questions with worked solutions.
- If y = y(x) is the solution of the differential equation dy dx +( x)y= x, 0 x 3 , with y(0) = 0, then y ( 4 ) equal to:
- Let C_1 be the curve obtained by the solution of differential equation 2xy dy dx =y^2-x^2, x > 0. Let the curve C_2 be the...
- If y = y(x) is the solution of the differential equation, dy dx +2y x= x, y ( 3 )=0, then the maximum value of the function y(x)...
- Let the curve y = y(x) be the solution of the differential equation, dy dx =2(x+1). If the numerical value of area bounded by the...
- Let y = y(x) be the solution of the differential equation x(3 x+ x+3)dy=(1+y x(3 x+ x+3))dx, 0 x 2 , y(0) = 0. Then y ( 3 ) is...
- If the curve y = y(x) is the solution of the differential equation 2(x^2+x^ 5/4 )dy-y(x+x^ 1/4 )dx=2x^ 9/4 dx, x > 0, which...
- Which of the following is true for y (x) that satisfies the differential equation dy dx =xy-1+x-y ; y(0) = 0 :
- Let y = y(x) be the solution of the differential equation dy dx =(y+1)((y+1)e^ x^2/2 -x), 0 < x < 2.1, with y(2) = 0. Then the...
- Let y = y(x) be the solution of the differential equation xdy – ydx = (x^2-y^2) dx, x 1, with y(1) = 0. If the area bounded by...
- The differential equation satisfied by the system of parabolas y^2=4a(x+a) is :
- Let y = y(x) satisfies the equation dy dx -|A|=0 for all x > 0, where A= vmatrix y& x&1 0&-1&1 2&0& 1 x vmatrix . If y( )= +2,...
- Let y = y(x) be the solution of the differential equation x ( y x )dy= (y ( y x )-x )dx, -1 x 1, y ( 1 2 )= 6 . Then the area...
- Let y = y(x) be the solution of the differential equation e^x 1-y^2 dx+ ( y x )dy=0, y(1) = –1. Then the value of (y(3))^2 is...
- Let y = y(x) be the solution of the differential equation cosec^2xdy+2dx=(1+y 2x)cosec^2xdx, with y ( 4 )=0 Then, the value of...
- Let y = y(x) be the solution of the differential equation ((x+2)e^ ( y+1 x+2 ) +(y+1) )dx=(x+2)dy, y(1) = 1. If the domain of y =...
- The population P = P(t) at time 't' of a certain species follows the differential equation dP dt =0.5P-450. If P(0) = 850, then...
- Let y = y(x) be solution of the differential equation _e ( dy dx ) = 3x + 4y, with y(0) = 0. If y (- 2 3 _e2 )= _e2, then the...
- If y = y(x), y [0, 2 ) is the solution of the differential equation sec y dy dx – sin(x+y) – sin(x–y) = 0, with y(0)=0, then 5y'...
- Let y = y(x) be the solution of the differential equation (x-x^3)dy=(y+yx^2-3x^4)dx, x > 2. If y(3) = 3, then y(4) is equal to :
- Let y = y(x) be the solution of the differential equation dy dx =e^ x+y ; N. If y( _e2)= _e2 and y(0)= _e ( 1 2 ), then the value...
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