Nonlinear Differential Equation with unknown source
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1
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I've encountered this equation:
$$S(t)-y(t)=alpha left(frac{dy(t)}{dt}right)^2$$
where $S(t)$ is a non-defined source (input of our system) and $alpha$ is a positive constant.
I've tried variable separation but without any success.
Please, can someone help me find a solution or a possible approach?
Thanks
differential-equations
edited 3 hours ago
Dylan
11.7k31026
asked yesterday
Luca Savant
645
add a comment |
up vote
1
down vote
favorite
I've encountered this equation:
$$S(t)-y(t)=alpha left(frac{dy(t)}{dt}right)^2$$
where $S(t)$ is a non-defined source (input of our system) and $alpha$ is a positive constant.
I've tried variable separation but without any success.
Please, can someone help me find a solution or a possible approach?
Thanks
differential-equations
edited 3 hours ago
Dylan
11.7k31026
asked yesterday
Luca Savant
645
This is equation: $alpha(y’)^2=S-y$?
– player100
18 hours ago
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I've encountered this equation:
$$S(t)-y(t)=alpha left(frac{dy(t)}{dt}right)^2$$
where $S(t)$ is a non-defined source (input of our system) and $alpha$ is a positive constant.
I've tried variable separation but without any success.
Please, can someone help me find a solution or a possible approach?
Thanks
differential-equations
edited 3 hours ago
Dylan
11.7k31026
asked yesterday
Luca Savant
645
I've encountered this equation:
$$S(t)-y(t)=alpha left(frac{dy(t)}{dt}right)^2$$
where $S(t)$ is a non-defined source (input of our system) and $alpha$ is a positive constant.
I've tried variable separation but without any success.
Please, can someone help me find a solution or a possible approach?
Thanks
differential-equations
differential-equations
edited 3 hours ago
Dylan
11.7k31026
asked yesterday
Luca Savant
645
edited 3 hours ago
Dylan
11.7k31026
asked yesterday
Luca Savant
645
edited 3 hours ago
Dylan
11.7k31026
edited 3 hours ago
Dylan
11.7k31026
edited 3 hours ago
Dylan
11.7k31026
11.7k31026
asked yesterday
Luca Savant
645
asked yesterday
Luca Savant
645
asked yesterday
Luca Savant
645
645
This is equation: $alpha(y’)^2=S-y$?
– player100
18 hours ago
add a comment |
This is equation: $alpha(y’)^2=S-y$?
– player100
18 hours ago
This is equation: $alpha(y’)^2=S-y$?
– player100
18 hours ago
This is equation: $alpha(y’)^2=S-y$?
– player100
18 hours ago
add a comment |
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This is equation: $alpha(y’)^2=S-y$?
– player100
18 hours ago