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Applied Mathematics 2
Show that `int_0^1(x^a-1)/logx dx=log(a+1)`
Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order
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Solve by variation of parameter method `(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
Concept: undefined >> undefined
Concept: undefined >> undefined
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Evaluate `int_0^oo e^(-x^2)/sqrtxdx`
Chapter: [7] Numerical Solution of Ordinary Differential Equations of First Order and First Degree, Beta and Gamma Function
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Concept: undefined >> undefined
Given `int_0^x 1/(x^2+a^2) dx=1/atan^(-1)(x/a)`using DUIS find the value of `int_0^x 1/(x^2+a^2) `
Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order
Concept: undefined >> undefined
Concept: undefined >> undefined
Find the perimeter of the curve r=a(1-cos ЁЭЬ╜)
Chapter: [8] Differentiation Under Integral Sign, Numerical Integration and Rectification
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Concept: undefined >> undefined
Evaluate `int int intx^2dxdydz` over the volume bounded by planes x=0,y=0, z=0 and `x/a+y/b+z/c=1`
Chapter: [10] Triple Integration and Applications of Multiple Integrals
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Solve by method of variation of parameters :`(D^2-6D+9)y=e^(3x)/x^2`
Chapter: [6] Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order
Concept: undefined >> undefined
Concept: undefined >> undefined
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
Concept: undefined >> undefined
Concept: undefined >> undefined
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
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