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Popular >

derivative of cos(y+2)=2x

Solution

\frac{d}{d x} (cos (y) + 2) = 2 x

Solution

y = arccos (x^{2} + c_{1} - 2) + 2 πn, y = - arccos (x^{2} + c_{1} - 2) + 2 πn

Solution steps

\frac{d}{d x} (cos (y) + 2) = 2 x

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

cos (y) + 2 = \int 2 x d x

\int 2 x d x = x^{2} + c_{1}

cos (y) + 2 = x^{2} + c_{1}

Isolate

y : y = arccos (x^{2} + c_{1} - 2) + 2 πn, y = - arccos (x^{2} + c_{1} - 2) + 2 πn

y = arccos (x^{2} + c_{1} - 2) + 2 πn, y = - arccos (x^{2} + c_{1} - 2) + 2 πn

Popular Examples

y^{^{'}} - b y = 0

(dy)/(dx)=y^2e^xsin(2x),y(0)=1

\frac{d y}{d x} = y^{2} e^{x} sin (2 x), y (0) = 1

x^'=(x)(1-x^{-10})

x^{^{'}} = (x) (1 - x^{- 10})

y^{^{'}} = y sin (3 x + 1)

y^'=(sin(x)e^{x+2y})/y

y^{^{'}} = \frac{sin ( x ) e ^{x + 2 y}}{y}

Frequently Asked Questions (FAQ)

What is the solution for derivative of cos(y+2)=2x ?
The solution for derivative of cos(y+2)=2x is y=arccos(x^2+c_{1}-2)+2pin,y=-arccos(x^2+c_{1}-2)+2pin