What is the answer to solvefor x,(d^2x)/(dy^2)=a^2x ?

The answer to solvefor x,(d^2x)/(dy^2)=a^2x is x=(\frac{d^2x)/(dy^2)}{a^2};\quad a\ne 0

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solvefor x,(d^2x)/(dy^2)=a^2x

solve for

x, \frac{d ^{2} x}{d y ^{2}} = a^{2} x

x = \frac{\frac{d ^{2} x}{d y ^{2}}}{a ^{2}}; a \neq = 0

Solution steps

\frac{d ^{2} x}{d y ^{2}} = a^{2} x

Switch sides

a^{2} x = \frac{d ^{2} x}{d y ^{2}}

Divide both sides by

a^{2}; a \neq = 0

x = \frac{\frac{d ^{2} x}{d y ^{2}}}{a ^{2}}; a \neq = 0

\frac{d ^{3} y}{d x ^{3}} - 2 y^{^{''}} + 1 y = 0

\frac{1}{16} y^{^{''}} + 4 y = 0

y^{^{''''}} + 3 y^{^{'''}} - y^{^{''}} - 3 y^{^{'}} + \frac{1}{2} y = 0

64 y^{^{''}} - 144 y^{^{'}} + 81 y = 0

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, (1) y = e^{2 x}

What is the answer to solvefor x,(d^2x)/(dy^2)=a^2x ?
The answer to solvefor x,(d^2x)/(dy^2)=a^2x is x=(\frac{d^2x)/(dy^2)}{a^2};\quad a\ne 0