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Solve the $(x^3y^3-xy)dy=dx$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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the motion of a particle is given by $\dfrac {d^2x}{dt^2}=-k^2x-2h\dfrac {dx}{dt}.$ Solve the equation
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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$\dfrac {d^4y}{dx^4}+\dfrac {2d^2y}{dx^2}+y=0$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Apply method of variation of parameter to solve. $\dfrac {d^2y}{dx^2}-\dfrac {4dy}{dx}+4y=e^{2x}\sec^2x$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Compare $y(0-2)$ given $\dfrac {dy}{dx}+y+xy^2=0 \space y(0)=1$ by taking $h=0.1$ using Runge-kutta method of fourth order correct to decimals
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Using Taylors Method $y=y_0+hy_0^1+\dfrac {h^2}{2!}y_0"+\dfrac {h^3}{3!}y"' +......$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Find PI of $(D^4-4D+4)y=e^x+\cos 2x$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Solve $\dfrac {d^2y}{dx^2}+2y=x^2e^{3x}+e^x\cos x$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Solve $y^4 dx=(x^{-3/4}-y^3x)dy$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Solve by method of variation of parameter $\dfrac {d^2y}{dx^2}+y=\sec x.\tan x$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Solve $\dfrac {d^2y}{dx^2}-\dfrac {4dy}{dx}+3y=2xe^{3x}+3e^x\cos 2x$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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The charge Q on the plate of a condenser of capacity C charged through a resistance R by a steady voltage V satisfies the differential equations
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Solve $\dfrac {d^3y}{dx^3}-6\dfrac {d^2y}{dx^2}+11\dfrac {dy}{dx}-6y=0$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Solve $\dfrac {dy}{dx}=\dfrac {y+1}{(y+2)e^y-x}$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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1.1k
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Evaluate the $\int\limits_0^1\int\limits_0^{\sqrt{1+x^2}}dxdy$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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1.3k
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Change the order of integration and evaluate $\int\limits_0^1\int\limits_x^{2-x}\dfrac xy dydx$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Apply runge kutta method of 4th order to find an approximate value of y at $x=0.2$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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1.3k
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Solve $dy/dx = 2x+y$ with initial conditions $x_0 = 0, y_0 = 0$ by Tayors method obtain y as series in power of x.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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1
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Solve the $(x+2y^3) dy/dx = y$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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1
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1.3k
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Evaluate the $\int\limits_0^2x^2(2-x)^3dx$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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1
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1.4k
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solve $x\sin xdy+(xy\cos x-y\sin x-z)dx=0$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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In a circuit containing inductance L resistance R and voltage E The current I is given by $L\dfrac {di}{dt}+Ri=E$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Solve $ (x^3y^4+ x^2y^3+xy^2+y)dx + (x^4y^3-x^3y^2-x^2y + x)dy = 0$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Solve $(D^3+2D^2+D)y = x^2 e^{3x} + \sin^2x + 2^x$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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1.4k
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The current in a circuit containing an inductance L, resistance Rand voltage E sin wt is given by $L\dfrac {di}{dt}+Ri=E\sin wt$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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