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In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs1000 is deposited with this bank, how much will it worth after 10 years (e^{0.5}= 1.648).
When P = 1000 and t = 0 ., then ,
c = 1000, therefore, we have :
At any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (– 4, –3). Find the equation of the curve given that it passes through (–2, 1).
Slope of the line segment joining the point of contact P (x , y) to the point ( 4 ,  3) =
Order = 3 , degree not defined ,because the function y’ present in exponential form.
Order = 4 , degree not defined , because the function y’’’ present in the angle of sine function.
General solution of sec^{2} x tany dx + sec^{2}y tan x dy = 0 is
Find the particular solution for (x + y) dy + (x –y) dx = 0; y = 1 when x = 1
Variable separation method can be used to solve First Order, First Degree Differential Equations in which y’ is of the form.
Variable separation method can be used to solveFirst Order, First Degree Differential Equations in which y’ is of the form. y’ = h(x)g(y) i.e
Determine order and degree (if defined) of y’ + 5y = 0
Order = 1 , degree = 1.
General Solution of (e^{x} + e^{x}) dy  (e^{x } e^{x}) dx = 0
solution of {x cos (y/x) + ysin(y/x)} ydx = {ysin(y/x)  x cos (y/x)} xdy is
^{}
Order = 2 , degree = 1.
To form a differential equation from a given function
To form a differential equation from a given functionDifferentiate thefunction successively as many times as the number of arbitrary constants inthe given function and eliminate the arbitrary constants.i.e. the differential equation should be free from arbitrary constants.
A differential equation of the form y' = F(x,y) is homogeneous if
A differential equation of the form y' = F(x,y) is homogeneous if F(x,y) is a homogeneous function of degree zero.
General solution of(1+x^{2}) dy+2xy dx = cot x dx(x ≠ 0) is
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