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A branch of mathematics that studies equations involving derivative, exploring their solutions and applications in various fields such as physics and economics.
What is the order of the differential equation given bydy/dx+4y=sinx?
The general solution of the differential xdy/dx=3-y is
Which of the following equations is an exact DE?
Classify the following differential equation:
It is the highest power of the highest differential which the equation contains after simplification
The general solution of the differential equation T" + 4T = 0 is
The degree of the differential equation x4(d3y/dx3)2+x(d2y/dx2)4= 3 is
In solving linear differential equations of the form dy/dx + Py = 0, the equationis called the
is a first orderpartial differential equation
The differential equation t(dy/dt)-5t=-y is a linear differential equation of the degree 2
The differential equation x(dy/dx)=x-y is a linear differential equation of the degree 1
The simplest form of partial differential equations occurs when a solution can be determined by direct partial integration
When the right-hand side is not equal to zero it is referred to as ahomogeneous differential equation
is a second order ordinary differential equation
It is an equation involving an unknown function and its d (a)Polynomials derivatives
Determine the order and degree of the differentialequation:
When the right-hand side of the differential equation is zero, it is referred to asa homogeneous differential equation
The order of the differential equation x4(d3y/dx3)+x(d2y/dx2) = 3 i
It is a differential equation whose unknown function depends on two or more independent variables
For the differential equation dy/dx = 4sin2x, what is the particular solution if y=2 when x=pi/2
It is obtained when additional information is given so that constants may be calculated
The general solution of the differential equation 2x(dy/dx)=3-x3is
The differential equation (x2-3x2y)dx+8y2dy=0 is homogenous of degree 2
The differential equation (3x+2y)dx+2xdy=0 is homogeneous of degree 1
Given the differential equationdy/dx=(x4−y4)/(x2+y2)xythe degree of differential equation is
The differential equation xy2dy – (x3+y3)dx=0 is not a homogeneous differential equation
The general solution of the differential equation dy/dx=cos4x-2x is
The general solution of the differential equation dy/dx=x(1-2y) is
Integration is the reverse process of differentiation
What is the general solution for the differential equation dy/dx = x3+ 3x?
The differential equation (x+6y)dx+xdy=0 is homogeneous of degree 1
The differential equation xydx-(x+2y)2dy=0 is a homogeneous differential equation
The differential equation dy/dx=(x4+5y)/x is a linear first order differential equation
Which of the following equations is a variable separable DE?
A solution to a differential equation which contains one or more arbitrary constants of integration is called:
For the differential equation dy/dx=8sin2x, what is the general solution?
To be able to solve simple partial differential equations which of the following knowledge is required?
The differential equation (x+7y)dx=-6xdy is homogeneous of degree 1
The differential equation (x2-2xy)dx+4y2dy=0 is homogenous of degree 2
When the right-hand side of the differential equation is zero, it is referred to asa non-homogeneous differential equation
The equation y2= cx is general solution of:
The differential equationis
The differential equation (6x2-7y2)dx-14xydy=0 is homogeneous of degree 2
The general solution of the homogeneous differential equation ydx+(2x+3y)dy=0 is
It is a differential equation whose unknown function (dependent variable usually y) depends on only one independent variable
The particular solution of the differential equation (dy/dx)+x=3, given y=2, when x=1 is
The general solution of the differential equation dy/dx=2ycosx is
The heat conduction equationis solved in a similar manner to that for the wave equation
For the differential equation dy/dx = 6cos4x, what is the general solution?
The differential equation (x4+2y)dx-xdy=0 is a linear first order differential equation
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