Solve the differential equation (x+1)dxdy=2xy, given that y(2)=3.

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Solve the differential equation (x + 1) {dy}{dx} = 2xy, given

Question

Solve the differential equation $(x + 1) \frac{d y}{d x} = 2 x y$ , given that $y (2) = 3$ .

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Solve the differential equation

(x + 1) \frac{d y}{d x} = 2 x y

, given that

y (2) = 3

5 mins ago

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Practice questions from similar books

Question 1

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

equals: (1)

(\frac{d ^{2} y}{d x ^{2}})^{- 1}

(2)

- (\frac{d ^{2} y}{d x ^{2}})^{- 1} (\frac{d y}{d x})^{- 3}

(3)

(\frac{d ^{2} y}{d x ^{2}})^{- 1} (\frac{d y}{d x})^{- 2}

(4)

- (\frac{d ^{2} y}{d x ^{2}})^{- 1} (\frac{d y}{d x})^{- 3}

View solution

Question 2

Let

f : R \to R

be a continuous function and

f (x) = f (2 x)

is true

\forall x \in R ˙

f (1) = 3,

then the value of

\int_{- 1}^{1} f (f (x)) d x

is equal to (a)6 (b) 0 (c)

3 f (3)

(d)

2 f (0)

View solution

Question 3

y^{3} - y = 2 x, t h e n (x^{2} - \frac{1}{27}) \frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d} =

y

\frac{y}{3}

\frac{y}{9}

\frac{y}{27}

View solution

Question 4

The second derivative of a single valued function parametrically represented by

x = φ (t) a n d y = ψ (t)

(where

φ (t) a n d ψ (t)

are different function and

φ^{p r i m e} (t) \neq = 0

) is given by

\frac{d ^{2} y}{d x ^{2}} = ((\frac{d x}{d t}) (\frac{d ^{2} y}{d t ^{2}}) - (\frac{d ^{2} x}{d t ^{2}}) \frac{\frac{d y}{d t}}{( \frac{d x}{d t} ) ^{2}}

\frac{d ^{2} y}{d x ^{2}} = ((\frac{d x}{d t}) (\frac{d ^{2} y}{d t ^{2}}) - (\frac{d ^{2} x}{d t ^{2}}) \frac{\frac{d y}{d t}}{( \frac{d x}{d t} ) ^{3}}

\frac{d ^{2} y}{d x ^{2}} = ((\frac{d ^{2} x}{d t}) (\frac{d ^{y}}{d t ^{2}}) - (\frac{d ^{x}}{d t}) \frac{\frac{d ^{2} y}{d t ^{2}}}{( \frac{d x}{d t} ) ^{3}}

\frac{d ^{2} y}{d x ^{2}} = ((\frac{d ^{2} x}{d t ^{2}}) (\frac{d ^{y}}{d t}) - (\frac{d ^{2} x}{d t ^{2}}) \frac{\frac{d ^{y}}{d t}}{( \frac{d x}{d t} ) ^{3}}

View solution

Question Text

Solve the differential equation

(x + 1) \frac{d y}{d x} = 2 x y

, given that

y (2) = 3

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Solve the differential equation (x+1)dxdy​=2xy, given that y(2)=3.

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Practice questions from similar books

Solve the differential equation $(x + 1) \frac{d y}{d x} = 2 x y$ , given that $y (2) = 3$ .