Date: December 2018

Question no 1 compulsory

Attempt ant tree Questions from remaining five questions.

Evaluate `int_0^inftye^(x^3)/sqrtx dx`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Find the length of the curve `x=y^3/3+1/(4y)` from `y=1 to y=2`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Solve `(D^2+2)y=e^xcosx+x^2e^(3x)`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Evaluate `int_0^1 int_0^(x2) y/(ex) dy dx`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Solve `(4x+3y-4)dx+(3x-7y-3)dy=0`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Solve `dy/dx=1+xy` with initial condition `x_0=0,y_0=0.2` By Taylors series method. Find the approximate value of y for x= 0.4(step size = 0.4).

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Solve `(d^2y)/dx^2-16y=x^2 e^(3x)+e^(2x)-cos3x+2^x`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Show that `int_0^pi log(1+acos x)/cos x dx=pi sin^-1 a 0 ≤ a ≤1.`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Change the order of integration and evaluate `int_0^2 int_(2-sqrt(4-y^2))^(2+sqrt(4-y^2)) dxdy`

Chapter: [10] Triple Integration and Applications of Multiple Integrals

Evaluate `int int int (x+y+z)` `dxdydz ` over the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and x + y + z = 1.

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Find the mass of lamina bounded by the curves 𝒚 = 𝒙𝟐 − 𝟑𝒙 and 𝒚 = 𝟐𝒙 if the density of the lamina at any point is given by `24/25 xy`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Solve `x^2 (d^2y)/dx^2+3x dy/dx+3y =(log x.cos (log x))/x`

Chapter: [5] Differential Equations of First Order and First Degree

Find by double integration the area bounded by the parabola 𝒚𝟐=𝟒𝒙 And 𝒚=𝟐𝒙−𝟒

Chapter: [10] Triple Integration and Applications of Multiple Integrals

Solve `dy/dx+x sin 2 y=x^3 cos^2 y`

Chapter: [7] Numerical Solution of Ordinary Differential Equations of First Order and First Degree, Beta and Gamma Function

Solve `dy/dx=x^3+y`with initial conditions y(0)=2 at x= 0.2 in step of h = 0.1 by Runge Kutta method of Fourth order.

Chapter: [7] Numerical Solution of Ordinary Differential Equations of First Order and First Degree, Beta and Gamma Function

Evaluate `int_0^1 x^5 sin ^-1 x dx`and find the value of β `(9/2,1/2)`

Chapter: [5] Differential Equations of First Order and First Degree

In a circuit containing inductance L, resistance R, and voltage E, the current i is given by `L (di)/dt+Ri=E`.Find the current i at time t at t = 0 and i = 0 and L, R and E are constants.

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

Evaluate `int_0^6 dx/(1+3x)`by using 1} Trapezoidal 2} Simpsons (1/3) rd. and 3} Simpsons (3/8) Th rule.

Chapter: [5] Differential Equations of First Order and First Degree

Find the volume bounded by the paraboloid 𝒙^{𝟐}+𝒚^{𝟐}=𝒂𝒛 and the cylinder 𝒙^{𝟐}+𝒚^{𝟐}=𝒂^{𝟐. }

Chapter: [10] Triple Integration and Applications of Multiple Integrals

Change to polar coordinates and evaluate `int_0^1 int_0^x (x+y)dydx`

Chapter: [10] Triple Integration and Applications of Multiple Integrals

Solve by method of variation of parameters

`(d^2y)/dx^2+3 dy/dx+2y=e^(e"^x)`

Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

#### Submit Question Paper

Help us maintain new question papers on Shaalaa.com, so we can continue to help studentsonly jpg, png and pdf files

## University of Mumbai previous year question papers Semester 2 (FE First Year) Applied Mathematics 2 with solutions 2018 - 2019

Previous year Question paper for University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2-2019 is solved by experts. Solved question papers gives you the chance to check yourself after your mock test.

By referring the question paper Solutions for Applied Mathematics 2, you can scale your preparation level and work on your weak areas. It will also help the candidates in developing the time-management skills. Practice makes perfect, and there is no better way to practice than to attempt previous year question paper solutions of University of Mumbai Semester 2 (FE First Year).

How University of Mumbai Semester 2 (FE First Year) Question Paper solutions Help Students ?

• Question paper solutions for Applied Mathematics 2 will helps students to prepare for exam.

• Question paper with answer will boost students confidence in exam time and also give you an idea About the important questions and topics to be prepared for the board exam.

• For finding solution of question papers no need to refer so multiple sources like textbook or guides.