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Q. For the differential equation $\frac{d^2 y}{d x^2}+y=0$, if there is a function $y=\phi(x)$ that will satisfy it, then the function $y=\phi(x)$ is called

Differential Equations

Solution:

Consider the differential equation $\frac{d^2 y}{d x^2}+y=0$
The solution of this differential equation is a function $\phi$ that will satisfy it i.e., when the function $\phi$ is substituted for the unknown $y$ (dependent variable)in the given differential equation, LHS becomes equal to RHS.
The curve $y=\phi(x)$ is called the solution curve (integral curve) of the given differential equation