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Popular >

y^{''}-7y^'=10

Solution

y^{^{''}} - 7 y^{^{'}} = 10

Solution

y = c_{1} e^{7 t} + c_{2} - \frac{10 t}{7}

Solution steps

y^{''} (t) - 7 y^{'} (t) = 10

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} - \frac{10 t}{7}

y = c_{1} e^{7 t} + c_{2} - \frac{10 t}{7}

Popular Examples

(D^2-4)y=2cos(2x)

(D^{2} - 4) y = 2 cos (2 x)

y^{''}+9y=cos(3t),y(pi/6)=1,y(0)=1

y^{^{''}} + 9 y = cos (3 t), y (\frac{π}{6}) = 1, y (0) = 1

1.23*20^2pi0.02^2-0.017y^'=0.01y^{''}

1.23 \cdot 2 0^{2} π 0.0 2^{2} - 0.017 y^{^{'}} = 0.01 y^{^{''}}

y^{''}-y^'-2y=3e^{(2x)}-e^{(-x)}

y^{^{''}} - y^{^{'}} - 2 y = 3 e^{(2 x)} - e^{(- x)}

D(r)=(27(r)+13)/(26)

D (r) = \frac{27 ( r ) + 13}{26}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-7y^'=10 ?
The solution for y^{''}-7y^'=10 is y=c_{1}e^{7t}+c_{2}-(10t)/7