Solution to the differential equation x-x3-3 -x5-5 - - -1-x2-2-x4-4 - -d x-d y-d x-d y is

The correct option is C 2y e^2x = C. e^2x 1Applying C and D, we get dy/dx = e^ x/e^x = e^ 2x 2y = e^ 2x + c ...

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Standard XII

Mathematics

Variable Separable Method

Solution to t...

Question

Solution to the differential equation $\frac{x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + . . . . . . .}{1 + \frac{x^{2}}{2} + \frac{x^{4}}{4!} + . . . . . .} = \frac{d x - d y}{d x + d y}$ is

2 y e^{2 x} = C . e^{2 x} + 1

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2 y e^{2 x} = C . e^{2 x} - 1

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y e^{2 x} = C . e^{2 x} + 2

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2 x e^{2 y} = C . e^{x} - 1

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Solution

The correct option is B $2 y e^{2 x} = C . e^{2 x} - 1$
Applying C and D, we get
$d y / d x = e^{- x} / e^{x} = e^{- 2 x} 2 y = - - e^{- 2 x} + c$

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Similar questions

Q. Solution to the differential equation

\frac{x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + . . . . .}{1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + . . . . .} = \frac{d x - d y}{d x + d y}

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Solution to the differential equation $\frac{x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + \dots \dots}{1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + \dots \dots} = \frac{d x - d y}{d x + d y}$ is

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Q. Solution of the differential equation

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Solution to the differential equation x+x33!+x55!+.......1+x22 +x44!+......=dx−dydx+dy is

The correct option is B 2y e2x=C.e2x−1Applying C and D, we get dy/dx=e−x/ex=e−2x2y=−−e−2x+c

Solution to the differential equation $\frac{x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + . . . . . . .}{1 + \frac{x^{2}}{2} + \frac{x^{4}}{4!} + . . . . . .} = \frac{d x - d y}{d x + d y}$ is

The correct option is B $2 y e^{2 x} = C . e^{2 x} - 1$
Applying C and D, we get
$d y / d x = e^{- x} / e^{x} = e^{- 2 x} 2 y = - - e^{- 2 x} + c$