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Differential Equations (GATE): Variable Separable Form l Solution of Differential Equation
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Differential Equations (GATE): Variable Separable Form l Solution of Differential Equation -----------------------------------------------------------------------------------------------------------
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Order and Degree of Differential Equation
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2) Homogeneous Differential Equation
3) Exact Differential Equation
4) Linear Differential Equations
5) Non-Exact Differential Equations Integrating Factor
6) Nonlinear Differential Equation
Higher Order Differential Equation with constant coefficient
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Differential Equation Full Playlist:
----------------------------------------------------------------------------------------------------------
To get more updates about GATE 2018 Mechanical engineering
Suppose a differential equation can be written in the form
\frac{d}{dx} f(x) = g(x)h(f(x))
which we can write more simply by letting y = f(x):
\frac{dy}{dx}=g(x)h(y).
As long as h(y) ≠ 0, we can rearrange terms to obtain:
{dy \over h(y)} = {g(x)dx},
so that the two variables x and y have been separated. dx (and dy) can be viewed, at a simple level, as just a convenient notation, which provides a handy mnemonic aid for assisting with manipulations. A formal definition of dx as a differential (infinitesimal) is somewhat advanced.
-~-~~-~~~-~~-~-
Please watch: "GATE 2021: Will PSU Recruit through GATE 2021? | Will 3rd Year Students Eligible for PSU Recruitment"
-~-~~-~~~-~~-~-
Watch More Related Videos:
Order and Degree of Differential Equation
Solution of Differential Equation:
1) Variable Separable Form
2) Homogeneous Differential Equation
3) Exact Differential Equation
4) Linear Differential Equations
5) Non-Exact Differential Equations Integrating Factor
6) Nonlinear Differential Equation
Higher Order Differential Equation with constant coefficient
Higher Order Differential Equation with constant coefficient: Particular Integral
Identifying Types of Differential Equation
Laplace Transformation
Differential Equation Full Playlist:
----------------------------------------------------------------------------------------------------------
To get more updates about GATE 2018 Mechanical engineering
Suppose a differential equation can be written in the form
\frac{d}{dx} f(x) = g(x)h(f(x))
which we can write more simply by letting y = f(x):
\frac{dy}{dx}=g(x)h(y).
As long as h(y) ≠ 0, we can rearrange terms to obtain:
{dy \over h(y)} = {g(x)dx},
so that the two variables x and y have been separated. dx (and dy) can be viewed, at a simple level, as just a convenient notation, which provides a handy mnemonic aid for assisting with manipulations. A formal definition of dx as a differential (infinitesimal) is somewhat advanced.
-~-~~-~~~-~~-~-
Please watch: "GATE 2021: Will PSU Recruit through GATE 2021? | Will 3rd Year Students Eligible for PSU Recruitment"
-~-~~-~~~-~~-~-
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