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Popular >

t^2y^'+ty=7

Solution

t^{2} y^{^{'}} + t y = 7

Solution

y = \frac{7 ln ( t )}{t} + \frac{c _{1}}{t}

Solution steps

t^{2} y^{'} (t) + t y = 7

Solve linear ODE:

y = \frac{7 ln ( t )}{t} + \frac{c _{1}}{t}

y = \frac{7 ln ( t )}{t} + \frac{c _{1}}{t}

Popular Examples

integral of (x^2)/((x^2+4)^{3/2)}

\int \frac{x ^{2}}{( x ^{2} + 4 ) ^{\frac{3}{2}}} d x

derivative of f(x)=(27)/(5e^2)-3/2 derivative of

f (x) = \frac{27}{5 e ^{2}} - \frac{3}{2}

derivative of sqrt(x+1)(16+8x+9x^2)

\frac{d}{d x} (x + 1 (16 + 8 x + 9 x^{2}))

xy^'+y=y^2,y(1)=-7

x y^{^{'}} + y = y^{2}, y (1) = - 7

integral of (169)/(x^3-13x^2)

\int \frac{169}{x ^{3} - 13 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for t^2y^'+ty=7 ?
The solution for t^2y^'+ty=7 is y=(7ln(t))/t+(c_{1})/t