BE Civil Engineering
BE Computer Engineering
BE Mechanical Engineering
BE Biotechnology
BE Marine Engineering
BE Printing and Packaging Technology
BE Production Engineering
BE IT (Information Technology)
BE Electrical Engineering
BE Electronics and Telecommunication Engineering
BE Instrumentation Engineering
BE Electronics Engineering
BE Chemical Engineering
BE Construction Engineering
BE Biomedical Engineering
BE Automobile Engineering
Academic Year: 2018-2019
Date: December 2018
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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
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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 ๐ = ๐๐ − ๐๐ and ๐ = ๐๐ 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 ๐๐=๐๐ And ๐=๐๐−๐
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
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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 ๐๐+๐๐=๐๐ and the cylinder ๐๐+๐๐=๐๐.
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
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University of Mumbai previous year question papers Semester 2 (FE First Year) Applied Mathematics 2 with solutions 2018 - 2019
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