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dogiipongs
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Question the problem:
y'=-x^2-sin(y)
please solve the question
thank you
y'=-x^2-sin(y)
please solve the question
thank you
SammyS said:What have you tried?
Where are you stuck?
i live in Thailand
We are willing to help you solve the problem - we are not here to solve it for you.
This is a first-order differential equation that can be solved using separation of variables. Rearrange the equation to have all of the y terms on one side and all of the x terms on the other side. Then, integrate both sides and solve for y.
The general solution to this equation is y(x) = -cos(x) + C, where C is a constant of integration. This can be found by integrating both sides of the equation and rearranging to solve for y.
No, this equation cannot be solved using a calculator. It requires a knowledge of differential equations and integration techniques.
Yes, there are specific techniques for solving first-order differential equations such as this one. Separation of variables is a common technique, as well as the use of integrating factors or substitution methods.
You can check your solution by plugging it back into the original equation. If it satisfies the equation, then it is a valid solution. Additionally, you can also take the derivative of your solution and see if it matches the original equation.