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Popular >

10y^'+4y=3

Solution

10 y^{^{'}} + 4 y = 3

Solution

y = - \frac{e ^{\frac{- 2 t - c _{1}}{5}}}{4} + \frac{3}{4}

Solution steps

10 y^{'} (t) + 4 y = 3

Solve separable ODE:

y = - \frac{e ^{\frac{- 2 t - c _{1}}{5}}}{4} + \frac{3}{4}

y = - \frac{e ^{\frac{- 2 t - c _{1}}{5}}}{4} + \frac{3}{4}

Popular Examples

(dx)/(dt)=0.04x+5000

\frac{d x}{d t} = 0.04 x + 5000

derivative of (y-3^2)=4(x-5)

\frac{d}{d x} ((y - 3)^{2}) = 4 (x - 5)

y^{^{'}} = y t^{2} - 1.1 y

sqrt(x)(dy)/(dx)=e^{3y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{3 y + x}, x > 0

y^'=2sqrt(y),y(0)=0

y^{^{'}} = 2 y, y (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for 10y^'+4y=3 ?
The solution for 10y^'+4y=3 is y=-(e^{(-2t-c_{1})/5})/(4)+3/4