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Popular >

solvefor y,xtan(y)-x^2sin(x)+3x^3=0

Solution

solve for

y, x tan (y) - x^{2} sin (x) + 3 x^{3} = 0

Solution

y = arctan (x (sin (x) - 3 x)) + πn

Solution steps

x tan (y) - x^{2} sin (x) + 3 x^{3} = 0

Move

x^{2} sin (x)

to the right side

x tan (y) + 3 x^{3} = x^{2} sin (x)

Move

3 x^{3}

to the right side

x tan (y) = x^{2} sin (x) - 3 x^{3}

Divide both sides by

x; x \neq = 0

tan (y) = x (sin (x) - 3 x); x \neq = 0

Apply trig inverse properties

y = arctan (x (sin (x) - 3 x)) + πn

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Frequently Asked Questions (FAQ)

What is the general solution for solvefor y,xtan(y)-x^2sin(x)+3x^3=0 ?
The general solution for solvefor y,xtan(y)-x^2sin(x)+3x^3=0 is y=arctan(x(sin(x)-3x))+pin