help@askiitians.com

+91-87964 74404

Grade 12th passDifferential Calculus

Solve the differential equation dy/dx=sin(x+y)
Please answer this question

Shivangi singh

7 Years agoGrade 12th pass

2 Answers

Khimraj

Approved Tutor Answer7 Years ago

now assume tanv/2 = t and solve further. This is the solution. $\int \frac{sec^2\frac{v}{2}dv}{1+2tan\frac{v}{2}+tan^{2}\frac{v}{2}}= \int dx$ $\int \frac{dv}{1+\frac{2tan\frac{v}{2}}{1+tan^2\frac{v}{2}}}= \int dx$ $\int \frac{dv}{1+sinv}= \int dx$ Integrate both sides $\frac{dv}{1+sinv}= dx$ Using variable and separable method $\frac{dv}{dx}-1= sin(v)$ $\frac{dy}{dx} = sin(x+y)$ Put x+y = v1+dy/dx = dv/dxdy/dx = dv/dx – 1

Khimraj

7 Years ago

Put x+y = v

1+dy/dx = dv/dx

dy/dx = dv/dx – 1

$\frac{dy}{dx} = sin(x+y)$

$\frac{dv}{dx}-1= sin(v)$

Using variable and separable method

$\frac{dv}{1+sinv}= dx$

Integrate both sides

$\int \frac{dv}{1+sinv}= \int dx$

$\int \frac{dv}{1+\frac{2tan\frac{v}{2}}{1+tan^2\frac{v}{2}}}= \int dx$

$\int \frac{sec^2\frac{v}{2}dv}{1+2tan\frac{v}{2}+tan^{2}\frac{v}{2}}= \int dx$

now assume tanv/2 = t and solve further. This is the solution.

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

1 Answer Available

Last Activity: 3 Years ago

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

View all Questions