Ask a New Question

Question

Solve the following differential equation:

f"(x)=sinx, x(0)=0, x'(0)=1
13 years ago

Answers

MathMate
f"(x)=sin(x)
integrate,
f'(x)=-cos(x)+C1
f'(0)=-cos(0)+C1=1 => C1=2
C1=2
f'(x)=-cos(x)+2
f(x)=-sin(x)+2x+C2
f(0)=-sin(0)+C2=0 => C2=0

=>
f(x)=-sin(x)+2x
13 years ago

Related Questions

solve the following differential equation : y'= x+y-3 / x-y-1 Solve the following differential equation: y'' - x = 0 Solve the following differential equation: y'' - 2y' + 5y = 0 Solve the following differential equation ; y'' - 2y' - 3y = e^2x Solve the following differential equation ; y'' = (4/x)y + x(y^1/2) Solve the following differential equation ; y' = (4/x)y + x(square root ofy) Solve the following differential equation ; y' = 2y'x + 1/y Solve the following differential equation ; y'= 2y'x + 1/y Solve the following differential equation ; y = 2y'x + 1/y Solve the following differential equation ; x(y'^2) + 2xy' - y = 0
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use