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If $y''+(\sin(x^2))y' + ( \cos( x^3))y=0$ be a second order linear differential equation.

If $y(1)=0 ;y'(1)=0$, then what is the number Of solutions. What is the fundamental theorem of existence and uniqueness theorem . using that how do we solve this.?

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    What do you think? – 2017-01-11
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    The answer is 1 but how to solve it ? – 2017-01-11
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    You are in a place where the force is zero and your velocity is also zero. What motion can you expect? – 2017-01-11
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    I ll be at rest – 2017-01-11
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    @LutzL you mean $\frac{d^2y}{dx^2}$ is **force**? – 2017-01-11
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    It is an acceleration which in a physical interpretation is equal to a force. See Newton's laws, anything that changes the linear motion of constant velocity of an object has to be a force. – 2017-01-11
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    Can you please solve it using mathematical theorems . – 2017-01-11

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